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Projectiles

Total questions: 25

Worksheet time: 49mins

Name
Class
Date
1.

In the absence of air friction, an object dropped near the surface of the Earth experiences a constant acceleration of about 9.8 m/s2. This means that the

a)

speed of the object increases 9.8 m/s during each second

b)

speed of the object as it falls is 9.8 m/s

c)

object falls 9.8 meters during each second

d)

object falls 9.8 meters during the first second only

2.

An object is shot vertically upward into the air with a positive initial velocity. Which of the following correctly describes the velocity and acceleration of the object at its maximum elevation?

a)

+ velocity & + acceleration

b)

zero velocity & zero acceleration

c)

zero velocity & - acceleration

d)

-velocity & - acceleration

3.

A person standing on the edge of a fire escape simultaneously launches two apples, one straight up with a speed of 7 m/s and the other straight down at the same speed. Which of the following is incorrect?

a)

The velocity of both apples increases by -9.8 m/s each second

b)

Both apples reach the ground with the same velocity.

c)

Both apples have the same total displacement.

d)

Both apples have the same speed each second.

4.

An object is released from rest and falls a distance h during the first second of time. How far will it fall during the next second of time?

a)

h

b)

2h

c)

3h

d)

4h

5.

A rock is dropped from the top of a tall tower. Two seconds later another rock, twice as massive as the first, is dropped. Ignoring air resistance, which of the following is not true after two seconds?

a)

The distance between the rocks will increase each second.

b)

The difference in their speeds will increase each second.

c)

They experience the same acceleration.

d)

They will hit the ground two seconds apart.

6.

Starting from rest, object 1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to object 1, object 2 falls:

a)

twice as far

b)

4 times as far

c)

8 times as far

d)

16 times as far

7.

If a ball is thrown directly upwards with twice the initial speed of another, how much higher will it be at its apex?

a)

The same height

b)

2 x higher

c)

4 x higher

d)

8 x higher

8.

A ball is thrown off a high cliff with a vertical velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocity of the ball?

a)

100 m/s upward

b)

20 m/s upward

c)

0 m/s

d)

20 m/s downward

e)

100 m/s downward

9.

A rock is dropped from the top of a tower takes 3 s to hit the ground. At the same time a ball is thrown from the top of the tower in a horizontal direction. The ball and the rock hit the level ground a distance of 30 meters apart. The horizontal velocity of the ball thrown was most nearly

a)

5 m/s

b)

10 m/s

c)

14.1 m/s

d)

20 m/s

10.

An object slides off a roof 10 meters above the ground with an initial horizontal speed of 5 meters per second as shown above. The time between the object's leaving the roof and hitting the ground is most nearly

a)

0.3 s

b)

1.0 s

c)

1.4 s

d)

2.0 s

11.

A diver initially moving horizontally with speed v dives off the edge of a vertical cliff and lands in the water a distance d from the base of the cliff. How far from the base of the cliff would the diver have landed if the diver initially had been moving horizontally with speed 2v?

a)

d

b)

2d\sqrt{2}d

c)

2d

d)

4d

12.

Robin Hood aims his longbow horizontally at a target's bull's eye 30 m away. If the arrow strikes the target exactly 1.0 m below the bull's eye, how fast did the arrow move as it was shot from the bow?

a)

13 m/s

b)

33 m/s

c)

67 m/s

d)

150 m/s

13.

A plane flying horizontally above Earth’s surface at 100 meters per second drops a crate. The crate strikes the ground 30.0 seconds later. What is the magnitude of the horizontal component of the crate’s velocity just before it strikes the ground?

a)

0 m/s

b)

100 m/s

c)

294 m/s

d)

394 m/s

14.

Four projectiles, A, B, C, and D, were launched from, and returned to, level ground. The data table below shows the initial horizontal speed, initial vertical speed, and time of flight for each projectile. Which object had the greatest range?

a)

A

b)

B

c)

C

d)

D

15.

An object was projected horizontally from a tall cliff. Which of the following is not true for the object at points A and B of this path?

a)

The horizontal speed is greater at B.

b)

The vertical speed is greater at B.

c)

The total speed is greater at B.

d)

The acceleration is equal at A and B.

16.

Which graph best represents the relationship between the pair of velocities of an object thrown upward at an angle from Earth’s surface and the time that elapses while it is in the air?

a)
b)
c)
d)
17.

A machine launches a tennis ball at an angle of 25° above the horizontal at a speed of 14 meters per second. The ball returns to level ground. Which combination of changes must produce an increase in time of flight of a second launch?

a)

decrease the launch angle and decrease the ball’s initial speed

b)

decrease the launch angle and increase the ball’s initial speed

c)

increase the launch angle and decrease the ball’s initial speed

d)

increase the launch angle and increase the ball’s initial speed

18.

A projectile is fired from the surface of the Earth with a speed of 200 meters per second at an angle of 30° above the horizontal. If the ground is level, what is the maximum height reached by the projectile?

a)

10 m

b)

500 m

c)

1000 m

d)

2000 m

19.

The diagram below shows four cannons firing shells with different masses at different angles of elevation. The horizontal component of the shell's velocity is the same in all four cases. In which case will the shell have the greatest range if air resistance is neglected?

a)

A

b)

B

c)

C

d)

D

20.

A ball is thrown into the air at an angle θ as measured from the horizontal with a velocity v. The velocity and acceleration at the apex will be

a)

zero velocity & zero acceleration

b)

zero velocity & -9.8 m/s2 acceleration

c)

vcosθv\cos\theta velocity & -9.8 m/s2 acceleration

d)

vsinθv\sin\theta velocity & -9.8 m/s2 acceleration

21.

A soccer ball is kicked from point Pi at an angle above a horizontal field. The ball follows an ideal path before landing on the field at point Pf . Which of the following statements is true when the ball is at point X?

a)

The horizontal velocity vector points to the right & equals vcosθv\cos\theta .

b)

The vertical velocity points up & equals vsinθv\sin\theta .

c)

The acceleration vector points up.

d)

The total velocity equals the initial velocity vv .

22.

Two stones, A and B, are thrown horizontally from the top of a cliff. Stone A has an initial speed of 15 meters per second at 20° above the horizontal and stone B has an initial speed of 15. meters per second but at 20° below the horizontal. Which statement is incorrect for stone A compared to stone B?

a)

Stone A reaches the ground after stone B.

b)

Stone A hits the ground at the same angle as B.

c)

Stone A accelerates at the same rate as B.

d)

Stone A hits the ground with a greater speed then stone B.

23.

A punter in a football game kicks the ball with an initial speed of 28.3 m/s at an angle of 60° with respect to the ground. The ball is in the air for a total of 5.00 s before hitting the ground. If we assume that air resistance is negligible, what would be the ball's horizontal displacement?

a)

14.2 m

b)

24.5 m

c)

70.8 m

d)

122.5 m

24.

An object is thrown with velocity v from the edge of a cliff above level ground. Neglect air resistance. In order for the object to travel a maximum horizontal distance from the cliff before hitting the ground, the throw should be at an angle θ with respect to the horizontal of

a)

greater than 60° above the horizontal

b)

greater than 45° but less than 60° above the horizontal

c)

greater than zero but less than 45° above the horizontal

d)

zero

25.

A soccer ball is kicked with an initial velocity V0 and an angle θ above the horizontal. The time for the ball to return to the ground is

a)

V0g\frac{V_0}{g}

b)

2V0g\frac{2V_0}{g}

c)

V0sinθg\frac{V_0\sin\theta}{g}

d)

2V0sinθg\frac{2V_0\sin\theta}{g}