1. A motorcycle stunt driver rides his motorcycle off a small ledge

that is 8.4 meters high. His initial velocity as he rides off the cliff is

24 m/s in the horizontal direction.

a. How long does it take before he lands on the ground below?

b. How far away from the base of the cliff does he travel while in

the air?

Answers

Answer 1

Answer:

Explanation:

Given

Height S = 8.4m

Initial velocity u = 24m/s

Required

Time it will take to reach the ground

Using the equation of motion

S = ut +1/2gt²

8.4 = 24t + 1/2(9.8)t²

8.4 = 24t+4.9t²

4.9t²+24t - 8.4 = 0

Multiply through by 10

49t²+240t-84 = 0

Factorize

t = -240±√240²-4(49(-84)/2(49)

t = -240±√57600+16464/98

t = -240±√74064/98

t = -240±272.15/98

t = 32.15/98

t = 0.328seconds

Hence it takes 0.328seconds before it lands on the ground below.

b) The horizontal distance is the range expressed as;

R = u²/g

R = 27²/9.8

R = 729/9.8.

R = 74.39m

Answer 2

a. The time it took before the motorcycle stunt driver lands on the ground below is 1.31 seconds.

b. The distance from the base of the cliff that the motorcycle stunt driver traveled while in  the air is 31.44 meters.

Given the following data:

Maximum height = 8.4 meters.Initial velocity = 24 m/s.

We know that the acceleration due to gravity (g) of an object on planet Earth is equal to 9.8 [tex]m/s^2[/tex]

a. To determine how long (time) it took before the motorcycle stunt driver lands on the ground below:

At maximum height, time is given by the formula:

[tex]Time = \sqrt{\frac{2H}{g} }[/tex]

Where:

g is the acceleration due to gravity.H is the maximum height.

Substituting the given parameters into the formula, we have;

[tex]Time = \sqrt{\frac{2\times 8.4}{9.8} }\\\\Time = \sqrt{\frac{16.8}{9.8} }\\\\Time =\sqrt{1.7413}[/tex]

Time = 1.31 seconds.

b. To determine how far (distance) away from the base of the cliff the motorcycle stunt driver traveled while in  the air:

[tex]Horizontal\;distance = horizontal\;speed \times time\\\\Horizontal\;distance = 24 \times 1.31[/tex]

Horizontal distance = 31.44 meters.

Read more here: https://brainly.com/question/18562863


Related Questions

Extrusive (lava) igneous rocks form

under the earth's surface

from fragments of other rocks

when molten rock cools above the earth's surface

Answers

Answer:

when molten rock cools above the earth's surface

Explanation:

Extrusive Igneous Rocks Extrusive igneous rocks are formed when molten magma spill over to the surface as a result of a volcanic eruption. The magma on the surface (lava) cools faster on the surface to form igneous rocks that are fine-grained.

Every winter I fly to Michigan. It takes 5 hours. What is my average speed?

Answers

Your answer is 780 km/hr

A skateboarder rolls horizontally off the top of a staircase and lands at the bottom. The staircase has a horizontal length of 12.0 with a vertical drop of 2.00. We can ignore air resistance.

Answers

Answer: 18.8 m/s

Explanation:

A skateboarder rolls horizontally off the top of a staircase and lands at the bottom. The staircase has a horizontal length of 12.0 m with a vertical drop of 2.00 m. We can ignore air resistance.

What is the skater's initial horizontal velocity?

Answer: 18.8 m

wheres my lil mama?​

Answers

Answer:

Explanation:

I FOUND YOUUU

Answer:

300,000

Explanation:

right here dad_0 ;) u got  snap?

find the mass of a car that is travelling at a velocity of 60m/a north. The car had 5,040,000 j of kinetic energy

Answers

Answer:

2800kg

Explanation:

What is the mass of 2.5 mol of Ca, which has a molar mass of 40 g/mol?

Answers

Answer:100 g of ca

Explanation:

What group is Ne in? What is its period?

Answers

Answer:

Neon (Ne), chemical element, inert gas of Group 18 (noble gases) of the periodic table, used in electric signs and fluorescent lamps. Colourless, odourless, tasteless, and lighter than air, neon gas occurs in minute quantities in Earth's atmosphere and trapped within the rocks of Earth's crust.

Explanation:

I am smart

Answer:

It is a Noble gas and its group is 18 or 8a and its period is 2.

Explanation:

the reason behind my answer is group is the column and the period is the row.

Why do people celebrate Christmas​

Answers

Answer:

Yes, for most, but not all people.

Explanation:

How much force must a 40,000 W engine exert to get a car up to 75 m/s?​
Edit: Answer - 533N

Answers

Answer:

Force = 533.33N

Explanation:

Given the following data;

Power = 40000watt

Velocity = 75m/s

To find the force;

[tex] Power = force * velocity [/tex]

Making force the subject of formula, we have;

[tex] Force = \frac {Power}{velocity}[/tex]

[tex] Force = \frac {40000}{75} [/tex]

Force = 533.33N

Please answer this question...

Answers

1 Less  and 2 greater!

HELP PLEASEEEE How might the concept of momentum be applied to seafloor spreading?

Answers

Answer:

the momentum  of the earth

Explanation:

Answer:

please mark me as brainlest

11/28/20      2:14 pm   name tom

hello i hope this is what you needed

What does seafloor spreading result in?

Explanation:

Seafloor spreading occurs at divergent plate boundaries. As tectonic plates slowly move away from each other, heat from the mantle's convection currents makes the crust more plastic and less dense. The less-dense material rises, often forming a mountain or elevated area of the seafloor. Eventually, the crust cracks.

fr.shah visits patients at their homes. the equation y=150x + 50 represents the amount she charges, where y represents the total cost and x represents the number of hours she spends at the home. when the equation is graphed, what does the y-intercept represent?

Answers

Answer:

50 represent the initial fee or cost added to the total cost

Explanation:

y=150x + 50

y represents the total cost and

x represents the number of hours she spends at the home.

Just like the slope intercept form y=mx + b; where m is the slope of the rate of  150 per hour and y is the total cost.

50 represent the initial fee or cost added to the total cost; in order words, 50 is the b value or where the cost is at 0 hours.

Y is what she charges just to make the trip and show up.

The patient owes her that 50 as soon as she rings the doorbell, before she spends any time there.

Leena is a 16-year-old girl. She complains of tiredness and loss of appetite. She is unable to concentrate on her studies and appears pale and unhealthy. Her mother took her to the doctor. The doctor told her that it was because of her poor diet. What condition is she likely to have?

Answers

Answer: Her condition most likely is fatigue.

Explanation:

Alex wants to take a small road trip over the weekend, but
needs to be back before Monday. He travels 450 miles and
it takes him 9 hours. What unit of measurement should
Alex be measuring his speed with

Answers

Answer:

Miles is the distance unit. Hours is the time unit.

Explanation:

A plane flies at 400 north of East for 150 miles,then flies 200 miles at an angle of 150 west of North. What is the plane's final displacement? Show all work

Answers

Answer:

341.46miles

Explanation:

Find the diagram attachment.

To get the displacement D, we will use the cosine rule as shown;

D² = 200²+150²-2(160)(400)cos65°

D² = 40000+22500-128000cos65°

D² = 62500+54095.14

D² = 116595.14

D = √116595.14

D= 341.46 miles

Hence the plane final displacement is 341.46miles

If the box the man is carrying is very heavy, explain if he does any work as he walks across the room with it.

Answers

since the box is heavy, i don’t believe he would be able to do any work because of the mass. as the man carries the box across the room, it is being pulled to the ground by gravity— this makes the man focus on keeping the box in his arms.

sorry if this isn’t what you were asking!

A 0.50-kg red cart is moving rightward with a speed of 50 cm/s when it collides with a 0.50-kg blue cart that is initially at rest. After the collision, the blue cart begins moving rightward with a speed of 40 cm/s. The red cart is still moving rightward but has slowed down to a speed of 10 cm/s. Enter the momentum values (in kg•cm/s) of each individual cart and of the system of two carts before and after the collision. Also indicate the change in momentum of each cart.

Answers

Explanation:

Step one:

given data

mass of red cart m1=0.5kg

initial velocity u1 of red cart=50cm/s

mass of blue cart m2=0.5kg

initial velocity u2 of blue cart= 0cm/s

final velocity v2 of blue cart= 40cm/s

final velocity v1 of red cart= 10cm/s

Step two:

Momentum values red cart before and after the collision.

Before collision

P1=m1u1

P1=0.5*50

P1=25kg•cm/s

After collision

P2=m1v1

P2=0.5*10

P2=5kg•cm/s

Change in momentum= P1-P2=25-5= 20kg•cm/s

Momentum values blue cart before and after the collision.

Before collision

P1=m1u1

P1=0.5*0

P1=0 kg•cm/s

After collision

P2=m1v1

P2=0.5*40

P2=20kg•cm/s

Change in momentum= P1-P2=0-20= -20kg•cm/s

The total momentum of the system of the carts before collision is 25 kgcm/s.

The total momentum of the system of the carts after collision is 25 kgcm/s.

The change in momentum of the red cart is -20 kgcm/s.

The change in momentum of the blue cart is 20 kgcm/s.

The given parameters;

mass of the red cart, m₁ = 0.5 kginitial speed of the red cart, u₁ = 50 cm/smass of the blue cart, m₂ = 0.5 kginitial velocity of the blue cart, u₂ = 0final velocity of the blue cart, v₂ = 40 cm/sfinal velocity of the red cart, v₁ = 10 cm/s

The momentum of the red cart before collision is calculated as follows;

[tex]P_r_1 = m_1u_1\\\\P_r_1 = 0.5 \times 50\\\\P_r_1 = 25 \ kgcm/s[/tex]

The momentum of the blue cart before collision is calculates as follows;

[tex]P_b_1 = m_2 u_2\\\\P_b_1 = 0.5 \times 0\\\\P_b_1 = 0 \ kgcm/s[/tex]

The momentum of the red cart after collision is calculated as follows;

[tex]P_r_2 = 0.5 \times 10\\\\Pr_2 = 5 \ kgcm/s[/tex]

The momentum of the blue cart after collision is calculated as follows;

[tex]P_2b_2 = 0.5 \times 40\\\\P_2b_2 = 20 \ kgcm/s[/tex]

The total momentum of the system before and after collision is calculated as follows;

[tex]P_1 = 25 \ kgcm/s \ + \ 0 = 25 \ kgcm/s\\\\P_2 = 5 \ kgcm/s \ + \ 20 \ kgcm/s = \ 25 \ kgcm/s[/tex]

The change in momentum of the red cart is calculated as follows;

[tex]\Delta P_r = Pr_2 - Pr_1\\\\\Delta P_r = 5 - 25 = - 20 \ kgcm/s[/tex]

The change in momentum of the blue cart is calculated as follows;

[tex]\Delta P_b = P_b_ 2 - P_b_1\\\\\Delta P_b = 20 - 0 \ = \ 20 \ kgcm/s[/tex]

Learn more about conservation of momentum here: https://brainly.com/question/16636313

Any one please give me the correct answer of this question???
I hope you can help me...

Answers

Answer:

no one ever amswers my questions

Two children are spinning on a miracle round. What is 50 cm from the center and the other is 100 cm from the center. Which child has the larger linear speed?

Answers

Answer:

The one that is 100 cm from the center.

Explanation:

Given that merry-go-round means moving at uniform circular motion or constant angular speed. Hence the person who is closer to the center is moving at a slower speed, while the one far away from the center has a larger linear speed because he has moved a long distance in the same amount of time, despite being on these objects.

To illustrate

A with the 50 cm

B with the 100 cm

Hence, to get speed, we have

A = 2 * pi * 50 / T

B = 2 * pi * 100 / T

And by the explanation of angular speed

We have w = 2*pi/T where w is the angular speed in radians/s

Hence we have

A = 50w

B = 100w

Therefore, the one that is 100 cm from the center has a larger linear speed.

3. A student fills a plastic bottle full of water. He make a hole in the bottle half-way up,
and another hole at the bottom.
(a) Does the water come faster out of the hole in the middle or the hole at the bottom?
Explain your answer.​

Answers

Answer:

It would go out the bottom hole faster.

Explanation:

It goes down the bottom hole faster because the water would get poured out the bottom before they even flipped the water bottle.

A roller coaster with a potential energy of 235,200 J sits at the top of a 30 m high hill. What is the mass of the roller
coaster? (Formula: PE = mgh)
O 800 kg
O 7,840 kg
O 8,000 kg
O 78,400 kg

Answers

Answer:

800 kg

Explanation:

I just did it :)

The amount of kinetic energy in a moving object depends on its mass and what

Answers

Answer:

Kinetic energy depends on mass and speed (or magnitude of velocity).

K.E.  = 1/2 M S² or The amount of kinetic energy of a moving object has dependence on its  mass and its velocity.

Explanation: They are both right for a certain question

The kinetic energy of a moving object depends on its mass and velocity. The higher the velocity higher will be the kinetic energy. Mass also have the similar effect.

What is kinetic energy?

Kinetic energy of an object is the energy generated by virtue of its motion. When particles of an  object acquire much energy to overcome the intermolecular force, they gain kinetic energy to move apart.

Kinetic energy is related to the mass and velocity of the moving object. The expression relating kinetic energy with these parameters is written below:

Ke = 1/2 mv².

As per the relation, the kinetic energy of an object increases with an increase in mass or velocity or both. Hence, massive objects with greater velocity is having greater kinetic energy.

Find more on kinetic energy:

https://brainly.com/question/15764612

#SPJ5

a change in the thermal energy of an object is related to the objects specific heat, heat temperature change, and mass. true or false

this is science BTW ​

Answers

true

think of a hurricane , for it to move it needs energy from the water (warm water).and one it gets on land which has less specific heat in it the hurricane ends

Answer:

True

Explanation:

Edge 2022

Which statement is
rue
about acceleration?
O A.
It is the rate of change of speed per unit time.
OB
It is the rate of change of displacement per unit time.
C.
It is the rate of change of velocity per unit time.
D.
It is the rate of change of position per unit time,

Answers

Answer:

A

Explanation: This is the correct answer

Answer:

yeyeyeyeyeye

Explanation:

Explain what the wedge does with the downward force of the axe. Why is this useful to someone cutting wood?

Answers

Answer:

The wedge balances propelled force.

Explanation:

According to the laws of motion, when appropriate weight is employed properly, a ball can move a truck. The same basic functions apply in this scenario. You often find a woodcutter raising the axe and letting it fall into the wood. This allows force to equally generate at both sides of the axe, splitting the wood apart.

what is the direction of the sum of these two vectors? ​

Answers

Answer:

what is the direction of the sum of these two vectors?

Answer:

69.6

Explanation:

Ax= 0

Ay= 63.5

Bx= 101 cos 57= 55.009

By= 101 sin 57= 84.706

Tan-1 = (84.706/55.009)

         = 69.6

Your car gets a flat! You go from 90 kilometers per hour to a stop in 6 seconds. What is your rate of deceleration? (it's negative!)
I need this ASAP!

Answers

Answer:

-15?

Explanation:

Which of the following objects had the greatest force applied to it? *

A) An object with a mass of 10 kg and an acceleration of 2.5 m/s^2
B) An object with a mass of 12 kg and an acceleration of 3.0 m/s^2
C) An object with a mass of 20 kg and an acceleration of 1.5 m/s^2
D) An object with a mass of 15 kg and an acceleration of 1.0 m/s^2

Answers

Answer:

B) is the answer

Explanation:

A) is 25 N

B) is 36N

C) is 30N

D)15N

work done per unit time :- a. force b. power c. energy d. momentum​

Answers

The Answer: B. Power

You kick a soccer ball across a field the ball travels across the field and slowly comes to a stop. Since the ball slowly comes to a stop what does that mean about the acceleration of the ball?

Answers

Answer:

the acceleration is negative which means it is going in the opposite direction of the actual motion which concludes the reason why the ball is slowing down. However, when the ball is stopped, there is no acceleration as the ball is in equilibrium

Explanation:

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