You are trying to get to class on time using the UCF Shuttle. You are later than usual getting to the stop and see the shuttle pulling away from the stop while you are still 3.9 m behind the bus stop. In 40.9 m you will reach a barrier and you must catch the shuttle before that point. The shuttle has a constant acceleration of 4.5 m/s2. What is the minimum velocity you have to run at to catch the bus before it reaches the barrier

Answers

Answer 1

Answer:

20.1 m/s

Explanation:

Since You are later than usual getting to the stop and see the shuttle pulling away from the stop while you are still 3.9 m behind the bus stop. And In 40.9 m you will reach a barrier and you must catch the shuttle before that point.

Given that the shuttle has a constant acceleration of 4.5 m/s2. 

The total distance to cover is:

Total distance = 40.9 + 3.9 = 44.8 m

Assuming you are starting from rest. Then initial velocity U = 0

Using the 3rd equation of motion to calculate the minimum velocity.

V^2 = U^2 + 2as

V^2 = 0 + 2 × 4.5 × 44.8

V^2 = 403.2

V = sqrt (403.2)

V = 20.1 m/s

Therefore, the minimum velocity you have to run at to catch the bus before it reaches the barrier is 20.1 m/s


Related Questions

Convert 2536 mm/min to m/s. Use dimensional analysis.

Answers

Answer:

As we know that,

1 mm/min = 1.66667E-5 m/s1 m/s = 60000 mm/min

Now, come to the question -

[tex] \\ \implies \sf \: 2536 \times 1.66667E-5 m/s \\ \\ \\ \implies \sf \blue{0.0422666667 \:m/s } \\ [/tex]

Result : 2536 mm/min = 0.0422666667 m/s.

c) A sample of substance of volume 10 cm3 was brought back to Earth from the Moon.
The weight of the sample on the Moon was 0.13 N. The gravitational field strength
on the Moon is 1.6 N kg-1.
(1)
Calculate the density of the sample.

Answers

Answer:

8125

Explanation:

[tex]P=0,13 N\\a=1,6 N/kg\\m=P/a=0,13/1,6=0,08125\\V=10(cm)^{3} =10^{-5} meters^{3} \\p=m/V=0,08125/10^{-5} =0,08125*100000=8125kg/meters^{3}[/tex]

4. What is the momentum of a 78.0 N bowling ball with a velocity of 8.00 m/s?

Answers

Momentum = (mass) x (speed)

We don't know the mass of the bowling ball, but we know how much it weighs.  So if we knew the acceleration of gravity in the place where the ball is, we could calculate its mass.  The question doesn't tell us what planet the bowling ball is on.  So if we only use the information given in the question, there's no way to find the answer, and we're stuck here.

But I urgently need the points, so I'm going to go out on a limb here and make a big assumption:  I'll assume that the alley where this ball is rolling and bowling is located on planet Earth, where the acceleration  of gravity is around  9.8 m/s²  everywhere on the planet's surface.  NOW I can go ahead and answer the question that I just invented.

weight = m  g

Mass = (weight) / (g)

Mass = (78.0 N) / (9.8 m/s²)

Mass = 7.96 kilograms

Momentum = (mass) x (speed)

Momentum = (7.96 kg) x (8.00 m/s)

Momentum = 63.7 kg-m/s

3. A block of mass m is suspended by strings as shown in the figure. The tension in the horizontal string
is 36 N. The angle 0 is 60°. Find the mass of the block and the tension forces in string A and string
B

I am having trouble trying to answer this problem. Any help?

Answers

Answer:

mass of the block is 7.2Kg

Tension on string A = 72N

Tension on the string with an angle is =  108N

Explanation:

The Horizontal string will have the cos component of the force...

Hence, mg cos60 = 36

by keeping acceleration due to gravity = 10 m/s^2, we get,

m = 7.2Kg

The tension in String A = mg = 7.2*10 = 72N

since the whole string holding the block is pulled by another string with 36 N

the resultant force will be the tension of the string with an angle.

Hence, 72 +36 = 108 N

Please let me know whether I got this right or not...

Please help me slow this I don't understand how this works

Answers

Answer:

[tex]A=90^0-B\\B+C=180^0-90^0=90^0\\C=90^0-B\\A=C[/tex]

Explanation:

Compare the de Broglie wavelength of a golf ball moving at 70.0 miles per hour (31.3 m/s) to that of an alpha particle moving at 3.40E+7 miles per hour (1.52E+7 m/s) and a bullet with a speed of 700 miles per hour (313 m/s). Which region of the electromagnetic spectrum are each of these wavelengths near

Answers

Answer:

1. Golf ball is in the range of only particulate detectable range

2, alpha partcle is in ultraviolet range of wavelength

3.bullet is in xray range of wavelength

All in the EMW spectrum

What is the kinetic energy when the pendulum is at the halfway point
(height=1 m) when the total mechanical energy is 4 J

Answers

The answer is 0 , hope this helps

An atom’s emission of light with a specific amount of energy confirms that

atoms must have a dense central mass surrounded by electrons at a distance.
electrons emit and absorb energy based on their position around the nucleus.
electrons can only be found within predicted areas surrounding the nucleus.
atoms are made of positive and negative charges.

Answers

The correct answer is B. Electrons emit and absorb energy based on their position around the nucleus.

Explanation:

In general, an atom's emission of photons (light) is the result of electrons, which are the negative charge particles that orbit the nucleus. Moreover, the emission of light is likely to occur if the electron is located at a specific energy level (position in the atom) and it moves to a lower level as this requires the loss of energy in the form of photons. Also, the electron can absorb the photons and as a result gain enough energy to move to a higher level. This implies the atom's emissions of light shows the relationship between electrons emitting and absorbing energy and their position or energy level.

Answer:

The correct answer is B. Electrons emit and absorb energy based on their position around the nucleus.

On edge :)

Explanation:

what type of organism does not use photosynthesis
(a) plants
(b) bacteria
(c) algae
(d) humans

Answers

Answer:

D) Humans

Explanation:

Photosynthesis is a useless ability without some way of exposing yourself to as much of the Sun's energy as possible. That requires a large surface area, relative to their volume. Plants achieve that with large, horizontal, light-capturing surfaces – leaves.

Which of these is caused by the interaction between the atmosphere and the hydrosphere?

Answers

Answer:

Explanation: All the spheres interact with other spheres. For example, rain (hydrosphere) falls from clouds in the atmosphere to the lithosphere and forms streams and rivers that provide drinking water for wildlife and humans as well as water for plant growth (biosphere).

What exerts the thrust force acting on the cart?

Answers

Answer:

This question appears incomplete

Explanation:

The question appears incomplete. However, a thrust can be described as a force or a push. A cart can be described as a vehicle (usually with two wheels) that is used to transport load from one point/place to another.

Newton first law of motion (law of inertia) states that a body will continue to be in a state of rest or if in motion, remains in motion (at constant velocity) unless acted upon by an external force. Hence, a cart will continue to be in a state of rest unless acted on by an external force which can be exerted by animals or humans (depending on the type of cart).

The rain gauge has 2 inches of precipitation.
Qualitative or Quantitative

Answers

Answer:

Quantitative is the correct term

this is quantitative.

quantitative values are ones that can be obtained by measuring something (like using a measuring cup to get 250mL of milk).
qualitative values are one that can be observed (the candle was yellow).

hope this helps :)

When students were surveyed about the kind of thinking they considered to be most important in their academic studies, the majority chose?

Answers

Answer:Critical Thinking

Explanation:

7.2 in college success text back

A student has a displacement of 304 m north in 180 s. What was the student's average velocity?
Given : Unknown: Equation: Substitution: Solve:

Subject is Physics

Answers

Answer:

v = 1.69 m/s

Explanation:

Given that,

Displacement of the student is 304 m due North and it takes 180 s.

We need to find the student's average velocity. Using formula of velocity.

Velocity = displacement/time

[tex]v=\dfrac{304\ m}{180\ s}\\\\v=1.69\ m/s[/tex]

Hence, the student's average velocity is 1.69 m/s.

The student's average velocity will be "1.69 m/s".

Displacement and Velocity:

The main distinction between velocity as well as speed would be that velocity, like speed, seems to have a direction and therefore it is a vector quantity.

This same distance travelled together along a straight line throughout a particular direction from either the beginning point is defined as displacement. Because displacement has both size as well as the direction, it's a vector quantity.

Given values:

Displacement, d = 304 mTime, t = 180 s

We know,

The velocity (v):

= [tex]\frac{Displacement}{Time}[/tex]

By substituting the values, we get

= [tex]\frac{304}{180}[/tex]

= [tex]1.69 \ m/s[/tex]

Thus the answer above is correct.

Find out more information about velocity here:

https://brainly.com/question/6504879

Suppose a fast-pitch softball player does a windmill pitch, moving her hand through a circular arc with her arm straight. She releases the ball at a speed of 21.3 m/s21.3 m/s (about 47.6 mph47.6 mph ). Just before the ball leaves her hand, the ball's radial acceleration is 871 m/s2871 m/s2 . What is the length of her arm from the pivot point at her shoulder?

Answers

Answer:

R = 52.08 cm

Explanation:

given data

tangential velocity v = 21.3 m/s

radial acceleration aR = 871 m/s²

solution

we will get here length of her arm from the pivot point at her shoulder so

here we know aR = [tex]\frac{v^2}{R}[/tex]     ........................1      

so put here value and we get

871 = [tex]\frac{21.3^2}{R}[/tex]  

R = 0.5208840 m

R = 52.08 cm

Answer:

Explanation:

linear speed of ball v = 21.3 m /s

radial acceleration = 871 m /s²

radial acceleration = v² / R

where R is length of arm which acts as radius of circular path of the ball .

Putting the values

21.3² / R = 871

R = .52 m.

When a wave goes through a substance, _______________ has occurred.
When a wave gets trapped or stuck in a substance, ______________ has occurred.
When a wave bounces off of a surface, ______________ has occurred.

The ____________________ states that the angle of an incoming wave is equal to the angle of the reflected wave.

Answers

Answer:

A) When a wave goes through a substance, _______________ has occurred.

This is refraction or transmission.

Refraction refers to the changes in the wave that occur when it enters a new medium, in this case, the substance.

Transmission refers to the transfer of energy that is now in the medium.

Usually, we have both of those together.

B) When a wave gets trapped or stuck in a substance, ______________ has occurred.

This is total internal reflection. This happens when, by the Snel Law, the angle of the transmited wave is 90° (or larger) which is traduced in no transmitted wave, this is why the wave is "trapped" in the substance.

C) When a wave bounces off of a surface, ______________ has occurred.

This is reflection.

D) The ____________________ states that the angle of an incoming wave is equal to the angle of the reflected wave.

This is the Law of Reflection, that says "when light is reflected from a surface, the angle of reflection is the same as the angle of incidence"

Suppose that a certain battery produces a voltage of 1.55V without a load connected (open circuit) and a current of 500mA when shorted. According to these specifications, if we were to model this as an ideal voltage source in series with a source resistance, what should the source voltage and internal resistance be? Justify your answer

Answers

Answer:

Explanation:

Let the internal resistance be r .

Since in open circuit the volt is 1.55 V , this will be the source voltage .

Source voltage = 1.55

If external resistance be R .

1.55 / (R + r ) = .500

R + r = 3.1 ohm

So sum of internal resistance and external resistance will be 3.1 ohm.

Love, which can't be observed or measured directly, is an example of a psychological construct.
Please select the best answer from the choices provided
О Тrue
O False

Answers

Answer:

True

Explanation:

A psychological construct can't be observed and you can feel this,

Example: anxiety, anger, sadness

The answer is True

the two forces acting on a boat or some other floating object _______are and gravity​

Answers

Answer:

The two forces acting on a boat or some other floating object are buoyancy and gravity

Answer: buoyant forceExplanation:two forces acting on a boat or some other floating object are buoyant force and gravityhi friend your answerI hope it will be helpful for you

mark as brainest answer

thank you

11. एक समान चुम्बकीय क्षेत्र में लम्बवत प्रवेश करने वाले किसी आवेशित कण द्वारा प्राप्त वृत्तीय पथ की
7 त्रिज्या का सूत्र ज्ञात कीजिए।
2
Find the formula of radius obtained by a charged particle entering perpendicularly
in a uniform magnetic field.​

Answers

Answer:

r=mv/Be

Explanation:

If a positive charge enters a magnetic field at 90 degrees the charge is deflected in a circular path by a force that acts perpendicular to it in line with Flemings right-hand rule

to derive the radius of the path of the charge we apply

F= mv^2/r=Bev

where

m= mass of the electronic charge

e=charge

B=magnetic field

v=average speed

r=radius

 

rearranging we have

r=mv^2/Bev

r=mv/Be

Which law applies to the picture?
Newtons 1st Law of Motion
Newtons 2nd Law of Motion
Newtons 3rd Law of Motion​

Answers

Answer:

Newton's first law

Explanation:

Newton's first law of motion says, that an object will stay in its current motion, unless if a force acts upon it.

So an object already at rest, will stay at rest. And the ball rolling will keep rolling, if no other force such as friction slows it down.

Determine the distance S to which the 90kg painter can climb without causing the 4m ladder to slip at it's lower end A. The top of the 15kg ladder has a small roller, and at the ground the coefficient of static friction is 0.25. The mass center of the painter is directly above her feet.​

Answers

Explanation:

...................,..........

Newton's first law states that at rest the sum of the forces acting on a body is zero

The distance S to which the painter can climb is approximately 2.55 meters

The reason the above value for the distance is correct is as follows:

The given parameter are;

The mass of the painter, m₁ = 90 kg

Length of the ladder, l = 4 m

The mass of the ladder, m₂ = 15 kg

The coefficient pf static friction, μ = 0.25

Friction force, [tex]\mathbf{F_f}[/tex] = Normal reaction, N × μ

Normal reaction (flat surface), N = Weight of painter + Weight of ladder

N = m₁·g + m₂·g

Where;

g = The acceleration due to gravity, g = 9.81 m/s²

N = 90 kg × 9.81 m/s² + 15 kg × 9.81 m/s² = 1,030.05 N

∴ [tex]\mathbf{F_f}[/tex] = 1,030.05 N × 0.25 = 257.5125 N

Friction force, [tex]\mathbf{F_f}[/tex] = 257.5125 N (Horizontal force)

At equilibrium, the sum of the  horizontal forces = 0

Fₓ + [tex]\mathbf{F_f}[/tex] = 0

Fₓ = [tex]-F_f[/tex] = -257.5125 N (Acting opposite to the direction of the friction force)

The height of the top of the ladder from the ground, h = √(4²-1.5²) = √(13.75)

Taking moment about point A gives;

Clockwise moment = Anticlockwise moment

Fₓ × h = m₁·g·s·cos(θ) + m₂·g·(l/2)·cos(θ)

Therefore;

Fₓ × √(13.75) m = 90 kg × 9.81 m/s² × s × (1.5/4) + 15 kg × 9.81 m  × 2 m × (1.5/4)

Fₓ × √(13.75) m = 331.0875 N × s + 110.3625 J

257.5125 N × √(13.75) m = 331.0875 N × s + 110.3625 J

s = (257.5125 N × √(13.75) m - 110.3625 J)/(331.0875 N) ≈ 2.55 m

The distance to which the 90 kg painter can climb without causing the 4 m ladder to slip at its lower end, A, distance S2.55 meters

Learn more about equilibrium of forces here:

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A car drives 10km with a speed of 72 km/hr and then runs out of gas. Then you walk 2km for the next 30 min until you find a gas station. (A) What is the displacement of the total trip? (B) How long does the entire trip take? (C) What is the average velocity of the entire trip?

Answers

Answer:

A- 12 km

B- 42 minutes

C- 17.14 km per hour

Explanation:

A- The displacement of the total trip is 12 kilometers, which emerges by adding the 10 kilometers traveled by car to the 2 kilometers traveled on foot.

B- The trip, in total, took 42 minutes, which arises from adding the 30 minutes of the journey on foot, plus 12 minutes of travel by car at 72 km / h (72/60 x 10 = 12).

C- While 12 km were covered in 42 minutes, the average speed of the trip was 17.14 km / h. This arises from the following calculation:

42 = 12

60 = X

(60 x 12) / 42 = X

17.14 = X

Does the atomic number of an atom change?

Answers

Answer:

An elements atomic number will never change, that is because the atomic number is its "identity."

Calculate the average speed 

1) between 0 min and 3 min.


2) between 3 min and 5 min. 



3) between 5 min and  10 min 


4) between 0 min and 10 min​

Answers

Answer:

000000000000000000000000000

a mountain climber lies flat on the surface of a glacier (assumed frictionless), which is inclined at 30 degrees to the horizontal. he remains stationary because he is holding on to a rope that is attached to a spoke in the ice further up the slope. THe slope is parallel to the surface of the ice. if the force of the ice on the climber is 210N, what is the tension in the rope

Answers

Answer:

181.87 N

Explanation:

Given that a  mountain climber lies flat on the surface of a glacier (assumed frictionless), which is inclined at 30 degrees to the horizontal. he remains stationary because he is holding on to a rope that is attached to a spoke in the ice further up the slope.

Since the he slope is parallel to the surface of the ice.

if the force of the ice on the climber is 210N, the tension T in the rope will be

T = 210 cos 30

T = 181.86 N

Therefore, the tension in the rope is 181.86 N

27.
In a graph showing how temperature of a material changes over time, temperature
change is the:
A. dependent variable
C. variable with the smallest range
B. independent variable
D. variable with the largest range

Answers

Answer:

A. Dependent variable

Explanation:

In a graph showing how temperature of a material changes over time, temperature is taken on y-axis and time is taken on x-axis. It shows how temerature altered as the time changes.

In temperature-time graph, temperature is directly dependent on time. With the increase in time, temperature rises, falls or remains constant. It implies that temperature is dependent variable that depend on time.

Hence, the correct option is (A).

A girl delivering newspapers covers her route by traveling 6.00 blocks west, 3.00 blocks north, and then 7.00 blocks east. HINT (a) What is her final position relative to her starting location? (Enter the magnitude in blocks and the direction in degrees north of east.) magnitude blocks direction ° north of east (b) What is the length (in blocks) of the path she walked?

Answers

Answer:

a) we can form a triangle in order to use the Pythagorean theorem = 3² + 1² = h²

h² = 9 + 1 = 10

h = √10

h = 3.1623 blocks

we must also find the angle at the initial point of the triangle (A):

tan⁻¹ (1/3) = 18.43°    

the position relative to her starting position is 90° - 18.43° = 71.57° north of east

b) total distance traveled = 6 + 3 + 7 = 16 blocks

- Over the weekend you go for an urban hike, traveling 3 miles north then 4 miles west before stopping to take a break. If this hike takes 1 hour, what is your average velocity during that time? - You leave your house to go for a drive to clear your head, driving 10 miles over the course of 30 minutes before arriving back home. What is your average velocity?

Answers

Answer:

A.) 5 mph

B.) 20 mph

Explanation:

Given that you are traveling 3 miles north then 4 miles west before stopping to take a break. If this hike takes 1 hour,

Let's first calculate the displacement be using pythagorean theorem

D = sqrt ( 3^2 + 4^2 )

D = sqrt ( 9 + 16 )

D = sqrt ( 25 )

D = 5

Average velocity = displacement/time

Average velocity = 5/1

Average velocity = 5 mph

Therefore, your average velocity during that time is 5 mph

- You leave your house to go for a drive to clear your head, driving 10 miles over the course of 30 minutes before arriving back home. 

Average velocity = 10/ 0.5

Average velocity = 20 mph

The position of a particle is r⃗ (t)=(3.0t2iˆ+5.0jˆ−6.0tkˆ)m. (a) Determine its velocity and acceleration as functions of time. (b) What are its velocity and acceleration at time t = 0?

Answers

Explanation:

It is given that,

The position of a particle is given by :

[tex]r(t)=(3t^2i+5j-6tk)\ m[/tex]

(a) Velocity of a particle is given by :

[tex]v=\dfrac{dr(t)}{dt}[/tex]

Putting values,

[tex]v=\dfrac{d}{dt}(3t^2+5-6t)\\\\v=(6ti-6k)\ m/s[/tex]

The acceleration of the particle is given by :

[tex]a=\dfrac{dv}{dt}\\\\a=\dfrac{d}{dt}(6t-6)\\\\a=6i\ m/s^2[/tex]

(b) At t = 0,

Velocity, v = 6k m/s

Acceleration, a = 6i m/s²

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If the sun got bigger in size how may this affect food sources simplify it for me please Simplify: 1.50 Why did plantation owners train enslaved workers in specialized fields? Check all that apply.to require workers to pay for trainingto help workers earn better wagesto have needed skilled workers on siteto rent workers to othersto prepare workers for the job market CAN SOMEONE HELP PLEASE Nothing ConstantNothing is constant but change.Heraclitus, an ancient Greek philosopher1 It was the last day of school; the kids were gone, the books had been collected, and Principal Drake was handing out final paychecks. This was normally a relaxed meeting at which teachers wearing casual clothes smiled and wished each other well for the summer. But no one was smiling today, because a story in the local newspaper had exploded like a crack of thunder.2 The headline read, Board of Education Plans New Middle School, and the staff members of East Orange Elementary were rattled.3 Principal Tom Drake opined, I am concerned about a situation in which a newspaper already knows school district information that comes as a surprise to me and my teachers. 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