According to the equation E=(-1)mc2, where [tex]E=3.2 x 1013 J[/tex] and [tex]=1.0000037[/tex], a 2 MeV electron has a mass of [tex]9.11 x 1031 kg[/tex] and a speed of [tex]2.195 x 108 m/s.[/tex]
How are masses expressed in MeV?Additionally, as energy and mass are connected by Einstein's famous equation E = mc2, the masses of elementary particles are sometimes stated in electron volts as well. An electron, for instance, has a mass of 0.51 MeV/c2, where c is the speed of light.
What does 2 MeV proton mean?Moving perpendicular to a 2.5 T magnetic field is a 2 MeV proton. The proton is under a force of (1.6 10 27 kg of proton mass)
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By how much would a windmill power increase in [%] if the wind speed increased 3%?
a. 33 b. 9 c. 13 d. 5 e. 21
The power will increase by about 9.27% (when rounded to two decimal places).
Therefore, the correct answer choice is (b) 9.
How do we calculate?The power generated by a windmill is proportional to the cube of the wind speed and which means that if the wind speed increases by 3%, the power generated will increase by:
(1.03)^3 −1 = 0.0927
In physics, power is described as the amount of energy transferred or converted per unit time. In the International System of Units, the unit of power is the watt.
So the power will increase by about 9.27%
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Under a pressure of 862 Pa, a gas has a volume of 752 L. The pressure is increased, without changing the temperature, until the volume is 624 L. What is the new pressure?
Claims that if temperature is kept constant, the end result of both volume and pressure is constant. The new level is 1036 Pa, which is how this can be expressed.
How does pressure work?So either a strong force or a strong force applied over a short area can cause a lot of pressure. When we stand up compared to when we are walking, more of our feet are in proximity to the earth. Pressure would be lower if there was more surface area in contact.
Describe a force?An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. There are both living things and non-living objects in the concept of a force.
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Mathias is going to do some informational interviewing. What is one of the main benefits of doing these interviews?
O A.
OB.
O C.
O D.
A.He will gain insight about a new career opportunity.
B.He will likely be offered a position with a company.
C.He will be able to ask questions about job openings.
D.He will find out how much money everyone earns.
Answer:
A
Explanation:
One of the main benefits of informational interviewing is that it allows the person conducting the interviews to gain insights and information about a particular career or industry.
a. How did the residents of donora initially respond?
The Pennsylvanian towns of Donora were struck by a smog at the end of October 1948 that forever altered the way environmental protection was practiced in the country.
During this, 20 people were confirmed dead, according to conservative estimates, while 5900 more people, or 43% of Donora's population, were adversely affected by the smog.
A firetruck and an ambulance from Donora's first responders started responding to calls. These rescue cars had to be led by a man walking in front carrying a torch due to the darkness. Later, when this technique was rendered impossible, firefighters started going door to door to give residents of Donora oxygen. Doctors advised anyone with long-term medical concerns to leave, but as the fog grew thicker, the routes became impassable.
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Estimate the power in [kW] of a "realistic ocean wave" captured by a wave-power station over a crest-length of 10 m, with the wave parameters characteristic of the Baltic sea: wave height of 1.25 m, wave period of 5 s (e.g., Northern Gotland Basin).
O a. 5
O b. 40
O c. 25
O d. 250
O e. 100
The power in kilowatts (kW) of a realistic ocean wave is 40 kW.
option B.
What is the realistic power?The power in kilowatts (kW) of a realistic ocean wave can be estimated using the following formula:
Power (kW) = 0.5 x (Crest Length in meters) x (Wave Height in meters)^2 x (Wave Period in seconds) x (Density of Water in kg/m^3) x (Gravity in m/s^2)
Given the wave parameters for the Baltic Sea: wave height of 1.25 m, wave period of 5 s, and a crest length of 10 m, we can plug in these values to calculate the power.
Wave height (H) = 1.25 m
Wave period (T) = 5 s
Crest length (L) = 10 m
Density of water (ρ) = 1025 kg/m^3 (typical value for sea water)
Gravity (g) = 9.81 m/s^2 (typical value on Earth)
Plugging in these values into the formula:
Power (kW) = 0.5 x 10 x (1.25)^2 x 5 x 1025 x 9.81
Calculating the above expression, we get:
Power ≈ 40 kW
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Why is it called “static” electricity?
A. Charges can easily flow
B. Charges are not trapped in place
C. Charges cannot easily flow
D. Charges are free to move around
It is called static electricity because Charges cannot easily flow, hence option C is the answer.
Static electricity is called "static" because the charges are not free to move around easily. They tend to build up on the surface of an insulator and remain in place, rather than flowing like current in a conductor.
This buildup of charge can occur due to friction, induction, or any other mechanisms in the conductor. Therefore, option C is the correct option that says "Charges cannot easily flow".
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Two cars stuck in a traffic jam and each sounds its horn at a frequency of 625 Hz. A bicyclist between the two cars, 4.50 m from each horn, is find that she is at a point of constructive interference. How far backward must she move to reach the nearest point of destructive interference? As a speed of sound use the speed of 343 m/s.
The bicyclist needs to move backward by a distance of 0.2744 m to reach the nearest point of destructive interference.
What is the distance for the nearest point of destructive interference?The wavelength of the sound wave produced by the horns can be calculated as;
λ = v/f
λ = 343/625
λ = 0.5488 m
let the integer multiple of the wavelength = d
d = mλ
d = 4.50 + x
where;
x is the distance that the bicyclist is from the point of constructive interference towards one of the horns4.50 + x = mλ
4.50 + x = m(0.5488)
let the odd multiple of half the wavelength = d'
d' = (2n + 1)(λ/2)
d' = 4.50 - y
where;
y is the distance that the bicyclist is from the point of destructive interference towards one of the horns.4.50 - y = (2n + 1)(λ/2)
4.50 - y = (2n + 1)(0.2744)
mλ = 2n(λ/2) + (λ/2) + 4.50 - y
x - y = (2n + 1)(λ/2) - 4.50
x - y = (2n + 1)(0.2744) - 4.50
Let n = 0
x - y = (0 + 1)(0.2744) - 4.50
y = 4.50 - 0.2744
y = 4.2256
The distance is cakculated as;
4.50 - y = 0.2744 m
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The critical angle for total internal re
ection at a liquid-air interface is
42.5.
(a) If a ray of light traveling in the liquid has an angle of incidence at the
interface of 35.0, what angle does the refracted ray in the air make
with the normal?
(b) If a ray of light traveling in air has an angle of incidence at the
interface of 35.0, what angle does the refracted ray in the liquid make
with the normal?
Solve pls:
a) What are the maina dvantages of an epicyclicgearbox? b) Figure Q4 overleaf shows a diagram for an epicyclic gear train. Power is supplied to
wheel 3 and is delivered to a load attached to the epicyclic arm, body 2. Wheel 5 is fixed to the gear case, body 1.
i) Determine T4 if t3 = 30, t4 = 40 and t5 = 60.
a) The main advantages of an epicyclic gearbox are:
High gear ratios can be achieved in a small space, making it a compact design.It can provide a smooth and efficient transfer of power due to the multiple contact points between gears.It can be used for different applications, such as increasing torque or speed, reversing direction, and providing a neutral point.How to solve a gearbox?b) i) Using the formula for the gear ratio of an epicyclic gear train:
T4/T3 = (t2/t1) x (t5/t2) x (t4/t5)
T4/30 = (1/2) x (60/20) x (40/60)
T4 = 40 Nm
ii) From the law of gearing for an epicyclic gear train:
w21 = (t3/t2) x (t5/t4) x w31 - (t3/t2) x w2
Substituting the given values:
w21 = (30/20) x (60/40) x 200 - (30/20) x 100
w21 = 150 rad/s
iii) The fixing couple that must be applied to wheel 5 can be found from the power transmitted by the gear train:
P = w3 x T3 = w2 x T2 = w1 x T1
Substituting the given values:
9 kW = 200 rad/s x 30 Nm = w2 x T2 = w2 x 20 Nm
w2 = 450 rad/s
T2 = (9 kW) / (450 rad/s) = 20 Nm
The fixing couple that must be applied to wheel 5 is equal in magnitude and opposite in direction to T2, so it is -20 Nm.
iv) The tangential force at the pitch point between wheels 3 and 4 can be found from the formula:
Ft = (2 x Pd) / (m x z3)
where Pd is the diametral pitch, m is the module, and z3 is the number of teeth on wheel 3.
Substituting the given values:
Pd = 25.4 / 5 = 5.08 teeth/inch
z3 = t3 / m = 30 / 5 = 6 teeth
Ft = (2 x 5.08) / (5 x 6) = 0.846 N
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A wave has a frequency of 11 Hz and a wavelength of 9 meters
what is the speed of the wave
The speed of the wave is 99 meters per second.
What is Wave?
A wave is a disturbance or variation that travels through a medium or space, transferring energy without the net movement of matter. Waves can occur in various forms, such as mechanical waves that require a medium for propagation (e.g., sound waves, water waves) or electromagnetic waves that can travel through a vacuum (e.g., light waves, radio waves).
The speed of a wave can be calculated using the formula:
speed (v) = frequency (f) x wavelength (λ)
Given that the frequency (f) is 11 Hz and the wavelength (λ) is 9 meters, we can plug these values into the formula to calculate the speed of the wave:
v = 11 Hz x 9 meters
v = 99 meters per second
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Question 2 of 10
How does the intensity of a sound wave change if the distance from the
source is reduced by a factor of 4?
A. The intensity decreases by a factor of 4.
B. The intensity increases by a factor of 4.
C. The intensity decreases by a factor of 16.
OD. The intensity increases by a factor of 16.
The intensity increases by a factor of 16.
option D.
What is inverse square law?According to the inverse-square law of sound propagation, the intensity of a sound wave decreases proportionally to the square of the distance from the source.
I ∝ 1/r²
where;
r is the distanceI is the intensity of the soundwhen distance from the source is reduced by a factor of 4, the intensity of the sound wave becomes;
I ∝ 1/4²
I ∝ 1/16
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help what’s the answer for this
The acceleration of mass, m2 is determined as 4.2 m/s².
What is the acceleration m2?The acceleration of mass, m2 is calculated by applying Newton's second law of motion, which states that force applied to a body is proportional to the product of mass and acceleration of the body.
F(net) = ma
m2g - m1g = m2a + m1a
a = (m2g - m1g)/(m2 + m1)
where;
g is acceleration due to gravitya is the acceleration of the blocksa = (5 x 9.8 - 2 x 9.8)/(5 + 2)
a = 4.2 m/s²
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5. How did your calculated final temperature compare with the actual temperature of the
air-metal mixture? Why or how did you make the prediction that you did?
To calculate the final temperature of an air-metal mixture, we need to use the principle of heat transfer.
The heat transfer equation states that the heat gained by the metal is equal to the heat lost by the air. This equation can be written as:
mcΔT = mairCpΔT
How to make prediction the of the final temperature?To make a prediction of the final temperature, we need to consider factors such as the thermal conductivity of the metal and air, the specific heat capacities of the materials, and the heat transfer coefficients at the metal-air interface. Additionally, the shape and size of the metal object and the surrounding environment can affect the final temperature.
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What is the SI unit that is equal to 0.01 meters?
Answer:one centimeter is equal to one hundredth of a meter (1 cm = 0.01 m).
Explanation:
Using the Left Hand Rule, if motion is toward you and the field is up, which way is the current?
A. Left
B. Right
C. Toward you
D. Away from you
A laboratory measurement finds 200 μg of hemoglobin per μL of blood. Hemoglobin, the blood protein that transports oxygen, has a molecular weight of 64 kDa or 64,000 u , where 1 dalton ( Da ) = 1 atomic mass unit ( u ) = 1.66×10^−24g . Estimate the number of hemoglobin proteins in one red blood cell. Express your answer in hemoglobin per red blood cell.
One red blood cell contains an estimated 251 molecules of haemoglobin, according to our estimation.
What size does a red blood cell typically have?The average red blood cell has a diameter of 6 to 8 micrometres, according to the American Society of Haematology, and a volume of 113-268 μm³ or 113-268x10⁻¹² L.
Let's first change the haemoglobin concentration from grammes per litre to grammes per litre so that it has the same units as the molecular weight:
200 μg/μL x 1 g/1000 μg x 10⁶ μL/L = 0.2 g/L
Next, let's translate hemoglobin's molecular weight from kDa to grammes per molecule:
64 kDa x 1000 Da/kDa x 1.66x10⁻²⁴ g/Da = 1.06x10⁻²⁰ g/molecule
Using Avogadro's number, we can now determine how many haemoglobin molecules are present in a single litre of blood ([tex]6.022*10^{23}[/tex] molecules/mol): 0.2 g/L x 1 mol/1.06x10⁻²⁰ g x [tex]6.022*10^{23}[/tex] molecules/mol = 1.13x10¹⁵ molecules/L.
Divide the total number of molecules in 1 litre of blood by the volume of red blood cells to get the amount of haemoglobin molecules per red blood cell. The typical red blood cell count range, according to the American Society of Haematology, is between 4.5-5.5 million cells/L, which translates to 4.5-5.5x10¹² cells/L.
When we divide the quantity of red blood cells in 1 L by the quantity of haemoglobin molecules, we get:
1.13x10¹⁵ molecules/L / 4.5x10¹² cells/L = 251 Red blood cell haemoglobin molecules, rounded to the closest integer.
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Two billiard balls, each with a mass of 0.21 kg, collide with each other on a pool table. Before the collision, one ball is moving north at 1.7 m/s and the other ball is moving south at 2.6 m/s. What is the momentum of this system after the collision? A. 0.19 kg-m/s north OB. 0.19 kg m/s south C. 0.90 kg-m/s north D. 0.90 kg-m/s south
Answer:
Explanation:
Ok I am an expert in this class. two balls which is 32 weighted for both. 21+21=41+1.7=42.7/4=10.7
Both would=10.7
Fill in the blanks with GPE (Gravitational potential energy) or KE (Kinetic energy)
Consider the concepts of kinetic energy (KE) and gravitational potential energy (GPE) as you complete these questions. A ball is held 1.4 meters above the floor. Use the terms KE of GPE as your answers.
In fact, in the absence of air resistance, the amount of ____ energy when the ball is held motionless above the floor equals the amount of ____ energy at impact with the floor.
In fact, in the absence of air resistance, the amount of GPE (Gravitational potential energy) energy when the ball is held motionless above the floor equals the amount of KE (Kinetic energy) energy at impact with the floor.
Help!! I need to get this done before 5pm!! I will give brainiest to whoever gets it done quickly!
Blood typing is a process that determines the type of antigens and antibodies present on the surface of red blood cells.
How to explain the bloodThere are four major blood types: A, B, AB, and O. Each blood type is characterized by the presence or absence of certain antigens and antibodies. For example, type A blood has A antigens on the surface of red blood cells and B antibodies in the plasma, while type B blood has B antigens on the surface of red blood cells and A antibodies in the plasma.
Blood transfusions are medical procedures in which blood or blood products are transferred from one person to another. Blood transfusions can be life-saving in situations where a person has lost a significant amount of blood due to injury or surgery, or has a medical condition that affects the production or function of their own blood cells. It is important to match the blood type of the donor and the recipient to prevent adverse reactions, such as hemolysis (breakdown of red blood cells) or an immune response.
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URGENT PLEASE HELP SOLVE THANK YOU SO MUCH
centers of two small particles charged particles are separated by a distance of 1.2x10-4 meter. The charges on the particle are 8x10^-19 and 4.8*10^-19, respectively. what is the the magnitude of the electrostatic force between these two particles?
Answer:
the magnitude of the electrostatic force between these two charged particles is 4.32 x 10^-28 N.
Explanation:
F = k * (q1 * q2) / r^2
where:
F is the electrostatic force
k is the Coulomb's constant (9 x 10^9 Nm^2/C^2)
q1 and q2 are the charges of the particles
r is the distance between the particles
Plugging in the given values:
q1 = 8 x 10^-19 C
q2 = 4.8 x 10^-19 C
r = 1.2 x 10^-4 m
k = 9 x 10^9 Nm^2/C^2
we can calculate the electrostatic force:
F = (9 x 10^9 Nm^2/C^2) * (8 x 10^-19 C) * (4.8 x 10^-19 C) / (1.2 x 10^-4 m)^2
F = 4.32 x 10^-28 N
The electrostatic force between these two particles is therefore calculated to be **1.44x10⁻¹⁴ N**1 using Coulomb's equation of electrostatic force.
COULOMB LAW BE DEFINED?With a force proportional to the product of the charges and inversely proportional to the square of the distance between them, Coulomb's law states that like charges repel and opposite charges attract. There is a formula that may be used to calculate the force between two point charges. Charles-Augustin de Coulomb created Coulomb's law in 1785
The electrostatic force between two charges is inversely proportional to the square of the distance between them and directly proportional to the product of their magnitudes1.
The centers of the two tiny charged particles in this example are separated by a distance of **1.2x10⁻⁴ meter**, with charges of **8x10⁻¹⁹** and **4.8*10⁻¹⁹**, respectively.
F is the electrostatic force
k is the Coulomb's constant (9 x 10⁹ Nm²C²)
q1 and q2 are the charges of the particles
r is the distance between the particles
Plugging in the given values:
q1 = 8 x 10⁻¹⁹ C
q2 = 4.8 x 10⁻¹⁹C
r = 1.2 x 10⁻⁴ m
k = 9 x 10₉ Nm²/C²
we can calculate the electrostatic force:
F = (9 x 10⁹Nm²/C²) * (8 x 10⁻¹⁹ C) * (4.8 x 10⁻¹⁹ C) / (1.2 x 10⁻⁴ m)²
The electrostatic force between these two particles is therefore calculated to be **1.44x10⁻¹⁴N**1 using Coulomb's equation of electrostatic force.
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if it took her 2.7 seconds to lift the lawnmower, how much power did she output
Answer:
N/A
Explanation:
The following formula can be used to compute the power output of a person lifting a lawnmower:
Work (W) / Time (t) = Power (P).
Where:
Work (W) is defined as the force used to lift the lawnmower multiplied by the distance traveled (i.e., work done against gravity).
Time (t) is the amount of time it takes to lift the lawnmower.
To determine the power output, however, we would need to know the force used to lift the lawnmower as well as the distance it was lifted. We won't be able to provide an accurate power output value without this information.
please help me in this question pls
a) Yes, the force of thrust of the engine does work as it is causing the plane to accelerate and lift off the ground.
b) Yes, the kinetic energy of the plane increases as it takes off and gains speed.
c) Yes, the gravitational potential energy of the plane increases as it gains height.
d) Yes, the force of thrust of the engine changes the mechanical energy of the plane.
What is Kinetic energy?The kinetic energy of an object is the form of energy that it possesses due to its motion which is also defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
The work done by the engine's thrust increases the plane's kinetic energy and gravitational potential energy, thereby changing its mechanical energy.
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Many chemical reactions release energy. Suppose that at the beginning of a reaction, an electron and proton are separated by 0.115 nm , and their final separation is 0.105 nm . How much electric potential energy was lost in this reaction (in units of eV)?
The electric potential energy lost in this reaction is approximately 2.81 eV.
What is potential energy?
To calculate the electric potential energy lost in this reaction, we first need to calculate the difference in electric potential energy between the initial and final states. We can use the following formula to calculate electric potential energy:
E = kq1q2/r
where E is the electric potential energy, k is Coulomb's constant (8.99 x [tex]10^{9}[/tex] N*m²/C²), q1 and q2 are the charges of the two particles, and r is the separation distance between them.
In this case, we have an electron and a proton, which have charges of -1.602 x [tex]10^{-19}[/tex] C and +1.602 x [tex]10^{-19}[/tex] C, respectively. The initial separation distance is 0.115 nm, which is 1.15 x [tex]10^{-10}[/tex] m, and the final separation distance is 0.105 nm, which is 1.05 x [tex]10^{-10}[/tex] m.
So, the initial electric potential energy is:
E_initial = kq_electronq_proton/r_initial
= (8.99 x [tex]10^{9}[/tex] N*m²/C²) * (-1.602 x [tex]10^{-19}[/tex] C) * (1.602 x [tex]10^{-19}[/tex] C) / (1.15 x [tex]10^{-10}[/tex] m)
= -1.44 x [tex]10^{-18}[/tex] J
And the final electric potential energy is:
E_final = kq_electronq_proton/r_final
= (8.99 x [tex]10^{9}[/tex] N*m²/C²) * (-1.602 x [tex]10^{-19}[/tex] C) * (1.602 x [tex]10^{-19}[/tex] C) / (1.05 x [tex]10^{-10}[/tex] m)
= -1.89 x [tex]10^{-18}[/tex] J
The electric potential energy lost in this reaction is:
ΔE = E_final - E_initial
= (-1.89 x [tex]10^{-18}[/tex] J) - (-1.44 x [tex]10^{-18}[/tex] J)
= -0.45 x [tex]10^{-18}[/tex] J
To express the electric potential energy lost in units of eV, we can use the following conversion factor:
1 eV = 1.602 x [tex]10^{-19}[/tex] J
So, the electric potential energy lost in this reaction is:
ΔE = (-0.45 x [tex]10^{-18}[/tex] J) / (1.602 x [tex]10^{-19}[/tex] J/eV)
= -2.81 eV
Therefore, the electric potential energy lost in this reaction is approximately 2.81 eV.
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find a recent (less than 5 years old) article addressing some aspect of
environmental science that we have covered so far this year.
"Greenland ice sheet melting at alarming rate of 8,300 tonnes per second" is a recent article addressing some aspect of environmental science that we have covered so far this year.
This article, published in The Guardian in January 2021, addresses the melting of the Greenland ice sheet, which is a topic covered in environmental science. The article highlights a new study that found the ice sheet is melting at a rate of 8,300 tonnes per second, which is seven times faster than in the 1990s.
The melting of the Greenland ice sheet contributes significantly to rising sea levels and could have disastrous consequences for coastal communities worldwide. The article discusses the causes and potential consequences of this rapid melting, as well as the urgent need for action to mitigate climate change and its effects. This topic relates to the study of climate change, the cryosphere, and the impacts of human activity on the environment.
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Bismuth-214 is radioactive. It has a half-life of 20 minutes. (a) The nuclide notation for bismuth-214 is 214Bi. State the composition of the nucleus of bismuth-214. ASSIGNM ASSIGN
The composition of the nucleus of bismuth-214 can be described using its nuclide notation, which consists of the element symbol, atomic number, and mass number.The element symbol for bismuth is Bi, which has an atomic number of 83, meaning that all atoms of bismuth have 83 protons in their nucleus.The mass number of bismuth-214 is 214, which means that a typical bismuth-214 nucleus contains 83 protons and 131 neutrons (since mass number = number of protons + number of neutrons).Therefore, the nucleus of bismuth-214 can be represented by the nuclide notation: ^214Bi.
A sound wave has a frequency of 1800 Hz and a speed of 300 ms¹. What is the shortest distance from a point of maximum pressure in the wave to a point of minimum pressure?
A) 0.1666 m
B) 0.083 m
C) 1.2 m
D) None of these
A block of wood weighing 15 N rest on top of the table. How mush force is exerted by the table on the blockso that it will remainat rest. Explain your answer
A wave has a frequency of 50Hz and a wavelength of 20m.
Calculate the speed of the wave in m/s.
Explanation:
f= 50Hz
wavelength= 20m
Speed of wave (v) = frequency × wavelength
= 50×20
= 1000m/s
Starting from its nest, an eagle flies at constant speed for 4.0 min due east, then 4.0 min due north. From there the eagle flies directly to its nest at the same speed.
How long is the eagle in the air? (in minutes)
Answer:
13.6569 minutes
Explanation:
The eagle flies east for 4 minutes and then north for 4 minutes. This creates a right triangle with sides of 4 and 4. You can find the other side of a right triangle (hypotenuse) by using the Pythagorean theorem, a^2 + b^2 = c^2
C is the hypotenuse which is the longest side, and A and B are the other two sides. So C equals 4^2 + 4^2 = c^2. c=5.6569. So the total distance traveled is 4+4+5.6569=13.6569
5. You are driving at a constant speed of 35.0 m/s
when you pass a traffic officer on a motorcycle
hidden behind a billboard. One second after your
car passes the billboard, the traffic officer sets out
from the billboard to catch you, accelerating at a
constant rate of 3.0 m/s². How long does it take the
traffic officer to overtake your car?
The traffic cop needs 23.3 seconds to pass the automobile.
What is the acceleration of a car moving in a straight line at a constant speed?When your velocity (not speed) changes, you are accelerating. A automobile moving at a steady 100 km/h in a straight line has no acceleration. Average acceleration is equal to (change in velocity) / (duration). The car's acceleration is zero because its change in velocity is also zero.
[tex]d1 = v1*t1 = 35.0 m/s * 1 s = 35.0 m[/tex]
[tex]d = d1 = 35.0 m[/tex]
[tex]d2 = v2*t + (1/2)at^2[/tex]
[tex]d2 = (1/2)at^2[/tex]
[tex]v2*t + (1/2)at^2 = (1/2)at^2[/tex]
[tex]v2*t = (1/2)at^2[/tex]
Solving for t, we get:
[tex]t = (2v2/a) = (235.0 m/s)/3.0 m/s^2 = 23.3 s[/tex] (rounded to 2 decimal places)
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