Projectile Motion Pre-Test Practice

Problem

	1.	What is the average speed of a cheetah that runs 88 m in 5 seconds?

	2.	A bicycle travels 15 km in 30 minutes. What is its average speed?

	3.	What is the average acceleration of a car that goes from rest to 60 km/h in 8 seconds?

	4.	A jet on an aircraft carrier can be launched from 0 to 40 m/s in 2 seconds. What is the acceleration of the jet?

	5.	A skateboarder starting from rest accelerates down a ramp at 2 m/s2 for 2 s. What is the final speed of the skateboarder?

	6.	An apple falls from a tree and 0.5 second later hits the ground. How fast is the apple falling when it hits the ground?

	7.	What speed must you toss a ball straight up so that it takes 4 s to return to you?

	8.	You toss a ball at 5 m/s straight upward. How much time will the ball take to reach the top of its path?

	9.	What is the hang time of a person who can jump a vertical distance of 0.6 m?

	10.	What vertical distance can a person with a 0.7 s hang time jump?

	11.	How much time does a car with an acceleration of 5 m/s2 take to go from 5 m/s to 40 m/s?

	12.	Starting from rest, a car undergoes a constant acceleration of 6 m/s2.. How far will the car travel in the first second?

	13.	A crate falls from an airplane flying horizontally at an altitude of 1250 m. Neglecting air drag, how long will the crate take to strike the ground?

	14.	If a projectile fired beneath the water, straight up, breaks through the surface at a speed of 13 m/s, to what height above the water will it ascend?

	15.	A stone is dropped from a cliff. After it has fallen 10 m, what is the stone's velocity?

	16.	A motorboat is driven across a river at 3.0 km/h at right angles to a current that is flowing at 10.0 km/h. What is the resulting speed of the motorboat?

	17.	A package falls out of a helicopter that is traveling horizontally at 70 m/s. It falls into the water below 8.0 seconds later. Assuming no air resistance, what is the horizontal distance it travels while falling?

	18.	Kyle throws a ball horizontally from the top of a building that is 5.0 m high. He hopes the ball will reach a swimming pool that is at the bottom of the building, 12.0 m horizontally from the edge the building. If the ball is to reach the pool, with what initial speed must Kyle throw it with?

	19.	An airplane whose airspeed is 295 km/h flies parallel to the direction of a wind with a speed of 40.0 km/h. What are the two possible speeds of the plane relative to the ground?

	20.	Consider an escalator at an angle of 45° above the horizontal that moves with a velocity of 2.0 m/s. What is the horizontal component of the escalator's velocity?

	21.	A ball is thrown horizontally from the top of a tall cliff. Neglecting air drag, what vertical distance has the ball fallen 2.0 seconds later?

	22.	A snowball rolls off the edge of a horizontal roof at a velocity of 3.0 m/s. What is the speed of the snowball 1.0 s later?

	23.	A projectile shot with an initial velocity of 51 m/s at an angle of 45° follows a parabolic path and hits a stationary balloon at the top of its trajectory. With what speed does the projectile hit the balloon?

	24.	A ball is thrown upward. Its initial vertical component of velocity is 20 m/s and its initial horizontal component of velocity is 12 m/s. What is the ball's speed 1.0 s later?

	25.	A ball is thrown upward. Its initial vertical component of velocity is 30 m/s and its initial horizontal component of velocity is 10 m/s. What is the ball's speed 4 s later?

	26.	A ball is thrown upward. Its initial vertical component of velocity is 30 m/s, and its initial horizontal component of velocity is 10 m/s. What are the horizontal and vertical components of the ball’s velocity 5 s later?

	27.	In a standing jump, the hang time of a certain athlete is 0.8 second. What is her hang time when she jumps the same height while moving horizontally?

Projectile Motion Pre-Test Practice
Answer Section

PROBLEM

	1.	ANS:	
17.6 m/s

PTS:	1	DIF:	L2	OBJ:	4.2 Speed	STA:	Ph.1.a | Ph.1.b
KEY:	average | speed		BLM:	application

	2.	ANS:	
30 km/hr

PTS:	1	DIF:	L2	OBJ:	4.2 Speed	STA:	Ph.1.a | Ph.1.b
KEY:	average | speed		BLM:	application

	3.	ANS:	
7.5 km/h·s

PTS:	1	DIF:	L2	OBJ:	4.4 Acceleration	
STA:	Ph.1.c	KEY:	average | acceleration		BLM:	application

	4.	ANS:	
20 m/s2

PTS:	1	DIF:	L2	OBJ:	4.4 Acceleration	
STA:	Ph.1.c	KEY:	acceleration	BLM:	application

	5.	ANS:	
4 m/s

PTS:	1	DIF:	L2	OBJ:	4.4 Acceleration	
STA:	Ph.1.c	KEY:	acceleration | speed		BLM:	application

	6.	ANS:	
5 m/s

PTS:	1	DIF:	L2	OBJ:	4.6 Free Fall: How Far?
STA:	Ph.1.a | Ph.2.c			KEY:	acceleration | speed	
BLM:	application

	7.	ANS:	
20 m/s

PTS:	1	DIF:	L2	OBJ:	4.6 Free Fall: How Far?
STA:	Ph.1.a | Ph.2.c			KEY:	speed | acceleration	
BLM:	application

	8.	ANS:	
0.5 s

PTS:	1	DIF:	L2	OBJ:	4.6 Free Fall: How Far?
STA:	Ph.1.a | Ph.2.c			KEY:	acceleration | speed	
BLM:	application

	9.	ANS:	
0.7 s

PTS:	1	DIF:	L2	OBJ:	4.7 Graphs of Motion	
STA:	Ph.1.i	KEY:	hang time	BLM:	application

	10.	ANS:	
0.6 m

PTS:	1	DIF:	L2	OBJ:	4.6 Free Fall: How Far?
STA:	Ph.1.a | Ph.2.c			KEY:	hang time | distance	
BLM:	application

	11.	ANS:	
7 s

PTS:	1	DIF:	L2	OBJ:	4.4 Acceleration	
STA:	Ph.1.c	KEY:	acceleration | time		BLM:	application

	12.	ANS:	
3 m

PTS:	1	DIF:	L2	OBJ:	4.4 Acceleration	
STA:	Ph.1.c	KEY:	acceleration | distance		BLM:	application

	13.	ANS:	
15.8 s

PTS:	1	DIF:	L2	OBJ:	4.7 Graphs of Motion	
STA:	Ph.1.i	KEY:	gravity | acceleration		BLM:	application

	14.	ANS:	
8.5 m

PTS:	1	DIF:	L2	OBJ:	4.6 Free Fall: How Far?
STA:	Ph.1.a | Ph.2.c			KEY:	projectile | speed	
BLM:	application

	15.	ANS:	
14 m/s

PTS:	1	DIF:	L2	OBJ:	4.6 Free Fall: How Far?
STA:	Ph.1.a | Ph.2.c			KEY:	velocity | gravity	
BLM:	application

	16.	ANS:	
10.4 km/h

PTS:	1	DIF:	L2	OBJ:	5.2 Velocity Vectors	
STA:	Ph.1.j	KEY:	speed | resultant		BLM:	application

	17.	ANS:	
560 m

PTS:	1	DIF:	L2	OBJ:	5.4 Projectile Motion	
STA:	Ph.1.f	KEY:	vector | resistance		BLM:	application

	18.	ANS:	
12.0 m/s

PTS:	1	DIF:	L3	OBJ:	5.6 Projectiles Launched at an Angle
STA:	Ph.1.f	KEY:	projectile | speed		BLM:	application

	19.	ANS:	
255 and 335 km/h

PTS:	1	DIF:	L2	OBJ:	5.2 Velocity Vectors	
STA:	Ph.1.j	KEY:	vector | speed			BLM:	application

	20.	ANS:	
1.4 m/s

PTS:	1	DIF:	L2	OBJ:	5.2 Velocity Vectors	
STA:	Ph.1.j	KEY:	velocity | horizontal		BLM:	application

	21.	ANS:	
20 m

PTS:	1	DIF:	L2	OBJ:	5.6 Projectiles Launched at an Angle
STA:	Ph.1.f	KEY:	projectile | vertical		BLM:	application

	22.	ANS:	
10.4 m/s

PTS:	1	DIF:	L2	OBJ:	5.4 Projectile Motion	
STA:	Ph.1.f	KEY:	speed | velocity		BLM:	application

	23.	ANS:	
36 m/s

PTS:	1	DIF:	L2	OBJ:	5.6 Projectiles Launched at an Angle
STA:	Ph.1.f	KEY:	projectile | velocity		BLM:	application

	24.	ANS:	
16 m/s

PTS:	1	DIF:	L2	OBJ:	5.6 Projectiles Launched at an Angle
STA:	Ph.1.f	KEY:	velocity | horizontal		BLM:	application

	25.	ANS:	
14 m/s

PTS:	1	DIF:	L2	OBJ:	5.6 Projectiles Launched at an Angle
STA:	Ph.1.f	KEY:	velocity | horizontal		BLM:	application

	26.	ANS:	
horizontal velocity  =  10 m/s  vertical velocity  =  –20 m/s

PTS:	1	DIF:	L2	OBJ:	5.6 Projectiles Launched at an Angle
STA:	Ph.1.f	KEY:	velocity | horizontal		BLM:	application

	27.	ANS:	
0.8 s

PTS:	1	DIF:	L2	OBJ:	5.6 Projectiles Launched at an Angle
STA:	Ph.1.f	KEY:	hang time | horizontal		BLM:	application