While performing a stunt, Danger Dog rides his motorcycle off the edge of a cliff with a velocity of 32 m/s. If the cliff is 45 m high, how far from the base of the cliff will Danger Dog land? Enter your answer in meters. 11 m 96 m 288 m 4 m

Answers

Answer 1

Answer:

The correct answer is b: 96 m.

Explanation:

The total distance in the horizontal direction traveled by Danger Dog can be calculated using the following equation:

[tex] x_{f} = x_{0} + v_{0_{x}}t + \frac{1}{2}at^{2} [/tex]   (1)

Where:

[tex] x_{f}[/tex]: is the final position in the horizontal direction =?                                      

[tex]x_{0}[/tex]: is the initial position in the horizontal direction = 0                                      

[tex] v_{0_{x}} [/tex]: is the initial velocity in the horizontal direction = 32 m/s

t: is the time

a: is the acceleration = 0 (he is accelerated only by gravity)

So, we need to find the time. We can find it as follows:

[tex] y_{f} = y_{0} + v_{0_{y}}t - \frac{1}{2}gt^{2} [/tex]    (2)

Where:

[tex] y_{f}[/tex]: is the final position in the vertical direction = 0                                      

[tex]y_{0}[/tex]: is the initial position in the vertical direction = 45 m                                      

[tex] v_{0_{y}} [/tex]: is the initial velocity in the vertical direction = 0

g: is the acceleration due to gravity = 10 m/s²      

By solving equation (2) for "t" we have:

[tex] t = \sqrt{\frac{2(y_{0} - y_{f})}{g}} = \sqrt{\frac{2*45 m}{10 m/s^{2}}} = 3 s [/tex]

Hence, the total distance traveled by Danger Dog in the x-direction is (equation 1):

[tex] x_{f} = 32 m/s*3 s = 96 m [/tex]    

Therefore, the correct answer is b: 96 m.

I hope it helps you!


Related Questions

If you were to throw one show with a force of 20 Newtons and the other with a force of 10 Newtons, which would accelerate more? Why?

Answers

Answer:

The show with 20 N force will accelerate more than the show with 10 N force, because 20 N force is greater than 10 N force.

 

Explanation:

From Newton's second law of motion, acceleration is the ratio of applied to mass of the object.

[tex]acceleration = \frac{Force}{mass}[/tex]

Acceleration is directly proportional to an applied force. At a constant mass, acceleration increases with an increase in the applied force.

Therefore, the show with 20 N force will accelerate more than the show with 10 N force, because 20 N force is greater than 10 N force.

 

Which three elements have the most similar chemical properties?

A. O, N, Si

B. K, Rb, Cs

C. Ar, Kr, Br

D. B, C, N

Answers

It’s c explanation they are all metal

Bryce has selected a major in political science but has a little interest in understanding public relations

Answers

Hi, you've asked an incomplete question. However, I assumed you want additional comments about this scenario.

Explanation:

Note, the term Major as used in academic contexts refers to a person's preferred interest or specialization at college or university.

Hence, the statement about Bryce appears to be contradictory, since we are told he "has little interest in understanding public relations".

1. बालू के एक कण की त्रिज्या 1.6 x 10-4मी है। इस कण की त्रिज्या
ऐंग्स्ट्रॉम में होगी
(a) 1.6x106A
तन (b) 1.5x106A
(c) 14x10A
(d)1.2x106A​

Answers

Answer:

BOIIII english????

Explanation:

Aluminium + hydrochloric acid =

Answers

Answer:

Aluminum hydrochloric acid

Explanation:

Aluminum reacts with diluted hydrochloric acid at room temperature. The metal aluminium dissolves in hydrochloric acid, producing aluminum chloride and colorless hydrogen gas. The reaction taking place between aluminium and hydrochloric acid is irreversible. And the final products will not react with each other.

Please help u guys acellus sucks

Answers

Answer:

6.0cm

Explanation:

Given

focal length = 15.0cm

object distance = 10.0cm

Required

Image distance v

Using the formula

1/f = 1/u + 1/v

1/15 = 1/10+1/v

1/v = 1/15 + 1/10

1/v = 2+3/30

1/v = 5/30

v = 30/5

v = 6.0cm

Hence the image distance is 6.0cm

Answer:

6.0 (2 sig figs)

Explanation:

Is it General Physics? I had it and passed the Final Exam with an A in the beginning of July!

what is the conclusion of coin and feather experiment? ​

Answers

Answer:

So the conclusion is that in presence of air net force acting downward reduces for feather and hence falls slower than coin. But in absence of air resistance, net downward force is just equal to force due to gravity which is same for both coin and feather and hence they fall down at the same rate.

The periodic wave in the diagram below has a frequency of 80. hertz.



What is the speed of the wave? (1) 13 m/s (2) 60. m/s (3) 27 m/s (4) 120 m/s

Answers

Answer:

hi how are you

2) 5/8

4) 5/8

Which of the following depicts xylem?

Answers

C is the right image for that biological process.

What is the mass number, symbol, and charge of an ion that contains 35 protons, 45 neutrons and 36 electrons?

Answers

Bromine contains 35 protons, 36 electrons, and 45 neutrons. The mass number of Bromine is  80. The ion charge of bromine is +7. "Br" is the symbol of Bromine.

Discussion about bromine:

Two chemists, Carl Jacob Löwig and Antoine Balard, independently discovered bromine in 1825 and 1826, respectively.

The chemical element bromine has the atomic number 35 and the symbol Br. It is the 3rd halogen, and at room temperature, it is a flammable red-brown liquid that easily evaporates to create a vapor of a similar color. Its characteristics fall in between those of iodine and chlorine.

Due to its high reactivity, elemental bromine does not naturally occur in its free form but rather as crystals minerals halide salts that are colorless and soluble, similar to table salt. Although the bromide ion (Br) is relatively uncommon in the Earth's mantle, its great solubility has led to its buildup in the seas.

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What is only found in plant cells??
Cell membrane , nucleus, cell wall , vacuole.

which one !!!

Answers

C. Cell wall

Hope that helps.

5. What type of sound wave shape forms behind an object traveling faster than the speed of sound?
- a cone
- a long, flat tail
- a bowl-shape
- a sphere

Answers

The first one, a cone.

If the battery has a voltage of 24 Volts, Find the current when switch is closed.

Answers

Answer:

6amps

Explanation:

The question is not complete

Given data

voltage= 24volts

Say we have a resistance of 4 ohms

We can then find the current using the formula

V= IR

substitute

24= I*4

I= 24/4

I= 6 amps

Hence the current when the voltage is 24volt and a resistance of 4 ohms is

6amps

Reflection off of a smooth surface like a mirror is an example of diffuse reflection.

true or false?

Answers

Answer:

true

Explanation:

Reflection is when light bounces off an object. If the surface is smooth and shiny, like glass, water or polished metal, the light will reflect at the same angle as it hit the surface. ... This is called diffuse reflection. Diffuse reflection is when light hits an object and reflects in lots of different directions.

Answer:

false

its regular reflection.

hope it helps.

An asteroid has a mean radius equal to 17 times that of Earth. Using Kepler's 3rd law find its period. T^2=a^3

Answers

Answer:

If T^2 = a^3

T1^2 / T2^2 = a1^3 / a2^3

Or T2^2 = T1^2 * ( a2^3 / a1^3)

Given T1 = 1 yr and a2 / a1 = 17

Then T2^2 = 1 * 17^3

or T2 = 70 yrs

NO LINKS OR NON USEFUL ANSWERS!!!!!!!! What makes a screw able to hold more or less weight?

Answers

Answer:

thread

Explanation:n general, a screw can hold 80-100 pounds. Several factors can impact on the amount of weight the screw can hold. This includes the length of the screw, the type of thread, the quality of the screw, the way it was inserted, and the type of forces that will be acting on it.

The frequency of a wave is 2 Hz and the wavelength is 4 m. What is the wave speed?

Answers

Answer:

4/2=2m/s

Explanation:

An electromagnet is a device that uses an electric current to produce a magnetic field.

Electromagnets are typically composed of a piece of metal wrapped with wire and connected to a battery. The battery provides the electric current, and the loops or coils of wire enhance the magnetic field. The more loops there are, the stronger the magnetic field.

When electric current flows through the electromagnet, the metal core becomes magnetized, so it possesses a north pole and a south pole.

Motors place electromagnets inside of permanent magnets as shown below.



However, motors are designed so that the polarity of the electromagnet constantly flips. That is, the north pole becomes the south pole, and the south pole becomes the north pole, every time the electromagnet turns 180 degrees.

Why is it designed this way?
A.
to conserve the energy in the battery
B.
to constantly polarize the field magnet
C.
so the electromagnet will continuously turn
D.
so the magnetic field will get stronger

Answers

The reason why motors are designed so that the polarity of the electromagnet constantly flips.is

C. so the electromagnet will continuously turn

Why is motor designed that way

The reason motors are designed so that the polarity of the electromagnet constantly flips is to continuously turn the electromagnet. This allows the motor to rotate continuously, rather than becoming stuck in one position.

The flipping of the polarity causes the electromagnet to attract and repel from the permanent magnets, creating a rotating motion.

Therefore, the correct answer is C.

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Which is not a way in which life is dependent on photosynthesis?
A.) Organisms breathe in the oxygen
B.) Its sugar is used as a food
C.) Helps cure disease
D.) Helps reduce global warming

Answers

Answer:

The answer is A

Explanation:

I have had this question before

hope this helps!! <3

The one that is not a way in which life is dependent on photosynthesis is that helping in cure of diseases. The correct option is C.

What is photosynthesis?

Photosynthesis is a technique that plants as well as other lifeforms use to transform light energy into chemical energy that can then be released to fuel the organism's activities via cellular respiration.

Photosynthesis' primary function is to convert solar energy into chemical energy and then store that chemical energy for later use. This process powers the majority of the planet's living systems.

Photosynthesis is essential to all living things because it is the primary source of oxygen in the atmosphere.

Without photosynthetic activity, the carbon cycle would not have been possible, oxygen-requiring life would perish, and plants would perish.

Due to photosynthesis, the organisms breathe in the oxygen, sugar is used as a food, and also helps to lower down global warming.

Thus, the correct option is C.

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PLEASE HELP!!!!!!!!

An object's mass increases, multiplied by a factor of 6. What factor would its Kinetic Energy increase by?

Answers

Answer:

6 also

Explanation:

Since Kinetic Energy and mass are directly proportional, as one increases, the other will increase with the same magnitude

If the speed of an object changes, the object must be experiencing an acceleration.
True or False

Answers

False because if it already has speed it means it was already accelerated and is now getting slower

If the wavelength of a wave stays the same and the speed doubles, what happens to the frequency of the wave?

Answers

Explanation:

velocity = wavelength × frequency => v= f1 × λ => f1 = v/ λ

λ = stays the same

v = doubles

2v = f2 × λ

2v/λ = f2

now ,

f2/f1= 2vλ/ vλ = 2

f2 = 2f1

therefore frequency is doubled

Scavengers are organisms that help clean a habitat by feeding on dead or rotting flesh. They help break down the remains left behind by carnivores. Vultures and maggots (baby flies) are common scavengers.

Decomposers are organisms that break down the remains of dead animals or plants. Many live in or on the soil. Fungi and bacteria are examples of decomposers.

Which of the following is an example of decomposers at work?


a. a fish eating dead seaweed floating in the water
b. a vulture picking apart a dead mouse in the woods
c. a squirrel gnawing at a dead bird on the ground
d. a fungus growing on a rotten tomato, breaking down its skin

Answers

Answer:

I think no B

if wrong correct me pls

have a nice day

#Captainpower

좋은 하루 되세요

#캡틴 파워

Answer: B

Explanation:

Vultures and maggots (baby flies) are common scavengers. Decomposers are organisms that break down the remains of dead animals or plants. ... Green plants are called producers because they take energy from sunlight and produce food in which the energy is stored.

PLEASE HELP!! Points will be given for suitable answer! Thank you!

Answers

Answer:

its lost 91

Explanation:

A wave is travelling at 3000 m/s has a wavelength of 1 m.
a) Calculate the frequency of the wave.
b) Calculate the time period of the wave.
c) How many complete wave cycles will occur in:
i. 1 second
ii. 10 senconds
iii. 1 minute

Answers

Answer:

a] 3000hz

b]3.33 × 10⁻⁴

ci]300

ii] 3000

iii]60,000

Explanation:

If a wave is travelling at 3000 m/s and has a wavelength of 1 meter the frequency of the wave would be 3000 Hz and the time period of the wave would be 3.33×10⁻⁴ seconds.

What is the frequency?

It can be defined as the number of cycles completed per second. It is represented in hertz and inversely proportional to the wavelength.

Frequency = 1/T

As given in the problem If a wave is travelling at 3000 m/s and has a wavelength of 1 meter,

The frequency of the wave would be 3000 Hz.

The time period of the wave would be 3.33×10⁻⁴ seconds.

There would be 3000 complete wave cycles in 1 second, 300 wave cycles in 10 seconds, and 50 wave cycles in 1 minute.

To learn more about frequency from here, refer to the link;

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Give reasons why christian should avoid corruption​

Answers

Answer: that Christians should not withdraw from the world, but should actively participate in the ... That is perhaps the reason why there is currently such an ... Investigating the root causes and consequences of corruption may contribute to a more.

Explanation:

who discovered electricity​

Answers

Answer:

Benjamin Franklin

Explanation:

sorry if wrong.

I don't know who it is surely.

Alexander Lodygin discovered electricity

A motor with an operating resistance of 24Ω is connected in a circuit witn 0.4A of current. The battery voltage must be volts

Answers

Answer:

Voltage = 9.6 Volts

Explanation:

Given the following data;

Resistance = 24Ω

Current = 0.4A

To find the voltage of the battery;

Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.

Mathematically, Ohm's law is given by the formula;

[tex] V = current * resistance [/tex]

Substituting into the formula, we have;

Voltage = 0.4 * 24

Voltage = 9.6 Volts

Therefore, the battery voltage must be 9.6 volts

1.-Una fuerza horizontal de 40 N es apenas suficiente para poner en marcha un trineo de 600 N sobre nieve compacta. Después de empezar el movimiento se requieren tan solo 10 N para mantener el trineo a rapidez constante. Halle los coeficientes de fricción estática y cinética

Answers

Answer:

Los coeficientes de fricción estática y cinética son [tex]\frac{1}{15}[/tex] y [tex]\frac{1}{60}[/tex], respectivamente.

Explanation:

Por la Primera Ley de Newton, sabemos que la fuerza externa debe tener igual magnitud y dirección contraria a la fuerza de reacción (fricción). Puesto que el trineo se mueve sobre una superficie horizontal, la magnitud de la fuerza normal es la del peso ([tex]W[/tex]), en newtons. El coeficiente de fricción estática ([tex]\mu_{s}[/tex]), sin unidad, es la razón de la fuerza de fricción justo antes del movimiento inminente ([tex]F[/tex]), en newtons, a la fuerza normal ([tex]N[/tex]), en newtons:

[tex]\mu_{s} = \frac{F}{W}[/tex] (1)

Si sabemos que [tex]F = 40\,N[/tex] y [tex]W = 600\,N[/tex], entonces el coeficiente de fricción estática es:

[tex]\mu_{s} = \frac{F}{W}[/tex]

[tex]\mu_{s} = \frac{40\,N}{600\,N}[/tex]

[tex]\mu_{s} = \frac{1}{15}[/tex]

El coeficiente de fricción cinética ([tex]\mu_{k}[/tex]), sin unidad, es la razón de la fuerza de fricción experimentada por el trineo en movimiento ([tex]F[/tex]), en newtons, a la fuerza normal:

[tex]\mu_{k} = \frac{F}{W}[/tex] (2)

Si sabemos que [tex]F = 10\,N[/tex] y [tex]W = 600\,N[/tex], entonces el coeficiente de fricción cinética es:

[tex]\mu_{k} = \frac{F}{W}[/tex]

[tex]\mu_{k} = \frac{10\,N}{600\,N}[/tex]

[tex]\mu_{k} = \frac{1}{60}[/tex]

Los coeficientes de fricción estática y cinética son [tex]\frac{1}{15}[/tex] y [tex]\frac{1}{60}[/tex], respectivamente.

mercury is the closest planet to the sun, but its mean temperature is only 67°C. why is this?​

Answers

Explanation:

Mercury is the closest planet to the sum, but its mean temperature is only 67°C. This is because Mercury has almost no atmosphere to hold in heat and keep the surface warm.

Hope it will help :)❤

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