Original Assignment ACC - A
Acceleration
1. A biker goes from a speed of 0.0 m/sec to a final speed of 25.0 m/sec in 10 seconds. What is the
acceleration of the bicycle?
2. A skater increases her velocity from 2.0 m/sec to 10.0 m/sec in 3.0 seconds. What is the
acceleration of the skater?
3. While traveling along a highway a driver slows from 24 m/sec to 15 m/sec in 12 seconds. What is
the automobile’s acceleration? (Remember that a negative value indicates a slowing down or
deceleration.)
4. A parachute on a racing dragster opens and changes the speed of the car from 85 m/sec to 45
m/sec in a period of 4.5 seconds. What is the acceleration of the dragster?
5. The cheetah, which is the fastest land mammal, can accelerate from 0.0 mi/hr to 70.0 mi/hr in 3.0
seconds. What is the acceleration of the cheetah? Give your answer in units of mph/sec.
6. The Lamborghini Diablo sports car can accelerate from 0.0 km/hr to 99.2 km/hr in 4.0 seconds.
What is the acceleration of this car? Give your answer in units of kilometers per hour/sec.
7. Which has greater acceleration, the cheetah or the Lamborghini Diablo? (To figure this out, you
must remember that there are 1.6 kilometers in 1 mile.) Be sure to show your calculations.
8. A cart rolling down an incline for 5.0 seconds has an acceleration of 4.0 m/sec2. If the cart has a
beginning speed of 2.0 m/sec, what is its final speed?
9. A car accelerates at a rate of 3.0 m/sec2. If its original speed is 8.0 m/sec, how many seconds will it
take the car to reach a final speed of 25.0 m/sec?
10. A car traveling at a speed of 30.0 m/sec encounters an emergency and comes to a complete stop.
How much time will it take for the car to stop if its rate of deceleration is -4.0 m/sec2?
11. If a car can go from 0.0 to 60.0 mi/hr in 8.0 seconds, what would be its final speed after 5.0
seconds if its starting speed were 50.0 mi/hr?
Free Fall a= 9.8 m/s2
12. What is the velocity of a dropped object after it has fallen for 3.0s?
13. A ball is thrown straight up with a velocity of 16 m/s; what will be its velocity 2.0s after being
released?
14. A stone is thrown down off a bridge with a velocity of 5.6 m/s. What is its velocity after 3 seconds
have passed?
15. A ball is thrown straight up from the ground with an unknown velocity. It reaches its highest point
after 3.5 s. With what velocity did it leave the ground?
16. An arrow is launched straight up with a velocity of 12.6 m/s. How long before the arrow returned
to the ground?
17. What is the velocity of a dropped object after it has fallen for 12 s?
18. A ball is thrown straight down with a velocity of 12 m/s; what will be its velocity 2.0 s after being
released?
19. A ball is thrown straight up with a velocity of 12 m/s; what will be its velocity 2.0 s after being
released?
20. An arrow is launched straight up from the ground with an initial velocity of 23.4 m/s. How long
until it reaches its highest point?
21. A ball is thrown straight up from the ground with an unknown velocity. It returns to the ground
after 4.0 s. With what velocity did it leave the ground?
1) 25 m/sec2
16) 2.57 s
2) 2.7 m/sec2
17) -117.6 m/s
3) -0.75 m/sec2
18) -31.6 m/s
4) -8.9 m/sec2
19) -7.6 m/s
5) 23 mph/sec
20) 2.4 s
6) 25 km/hr/sec
21) 19.6 m/s
7) The cheetah. The cheetah’s acceleration in
km/hr/sec is 37 km/hr/sec, which is 12
km/hr/sec faster than the car.
8) 22 m/sec
9) 5.7 seconds
10) 7.5 seconds
11) 88 mph
12) -29.4 m/s
13) -3.6 m/s
14) -35 m/s
15) 34.3 m/s
Original Assignment – ACC B – Motion Graphs
Calculate acceleration from each of these graphs.
1.
2.
3.
4. Find acceleration for
segment 1 and segment 2.
5. A graph of the velocity as a function of time
for two cars is presented below.
a. What is the initial velocity of each car?
b. What is the acceleration of each car?
6. A graph of the velocity as a function of time for
two objects A and B is presented below.
a. What is the initial velocity of each
object?
b. What is the acceleration of each object?
7. Marcus Tardee is driving his friends to school. With the start of school being only minutes away, he is
unfortunately following a slow garbage truck. The truck finally turns down a side street and Marcus
accelerates to a much more customary speed. The velocity-time graph below represents his motion. Use the
graph to answer the following questions.
a. How fast was Marcus traveling while
following the garbage truck?
b. Determine the acceleration of the car once
the garbage truck turned onto the side street.
8. The velocity-time graph below represents the motion of a car on a city street.
Use the graph to determine the acceleration values
of the car at ...
a. 1.4 seconds.
b. 6.8 seconds.
c. 11.6 seconds.
d. 17.6 seconds.
9. After a long soccer practice down at the neighborhood soccer fields, Suzie begins walking up the steep hill
towards her home. She gives her soccer ball a kick up the hill and continues walking towards it, meeting the
ball as it is rolling back down. The velocity-time graph below depicts the motion of the ball. Use the graph to
answer the following questions.
a. At what time did the ball change directions
and begin rolling back down the hill?
b. What is the acceleration of the ball as it
rolls up the hill? down the hill?
10. Jeremy has recently taken up snowboarding
as a hobby. He is practicing making smooth
turns while traveling up sloped inclines. The
velocity-time graph below depicts his
motion traveling up an embankment and
part-way down. Use the graph to answer the
following questions.
a. Determine Jeremy's acceleration at 8.0 seconds.
b. At what time did Jeremy begin to travel back
down the embankment?
1.
2.
3.
4.
5.
Acceleration = 5 miles/hour/hour or 5
miles/hour2
Acceleration = -2 meters/minute/minute or -2
meters/minute2
Acceleration = 0 feet/minute/minute or 0
feet/minute2 or no acceleration
Segment 1: Acceleration = 2 feet/second/second,
or 2 feet/second2
Segment 2: Acceleration = 0.67
feet/second/second, or 0.67 feet/second2
vI= 0 m/s
vII = 30 m/s
aI= 0.8 m/s2
aII = -1.5 m/s2
vA= 12 m/s
vB = 2 m/s
aA= -1.2 m/s2
aB = 0.67 m/s2
7. a. 4.0 m/s
b. 2.67 m/s/s
8. a. 2.0 m/s/s
b. 0.0 m/s/s
c. 6.0 m/s/s
d. -2.0 m/s/s
9. a. 3.00 s
b. -4.00 m/s/s
10. a. -2.00 m/s/s
b.. 11.0 s
6.
Original Assignment ACC – C
Examples
1. An object is moving with an initial velocity of 19 m/s. It is then subject to a constant acceleration
of 2.5 m/s2 for 15 s. How far will it have traveled during the time of its acceleration?
2. An object accelerates from rest, with a constant acceleration of 8.4 m/s2, what will its velocity be
after 11s?
3. An arrow is projected by a bow vertically up with a velocity of 40 m/s, and reaches a target in 3 s.
What is the velocity of the arrow just before it hits the target? How high is the target located?
4. An object is traveling with a constant velocity of 3.0 m/s. How far will it have gone after 4.0 s?
5. An object accelerates from rest to a velocity of 34 m/s over a distance of 70 m. What was its
acceleration?
6. An object falls from a height of 490 m. How much time does it take for the object to reach the
ground?
Class Work
7. A car which is traveling at a velocity of 1.6 m/s undergoes an acceleration of 9.2 m/s2 over a
distance of 540 m. How fast is it going after that acceleration?
8. An object is traveling at a constant velocity of 25 m/s when it experiences a constant acceleration
of 1.5 m/s2 for a time of 38 s. What will its velocity be after that acceleration?
9. A water drop falls down from the roof of a house during 3 s, how high is the house?
10. An object accelerates from rest with a constant acceleration of 7.5 m/s2. How fast will it be
traveling after it goes 87 m?
11. An object is moving at a velocity of 8.8 m/s. It accelerates to a velocity of 35 m/s over a time of 6.3
s. What acceleration did it experience?
12. A ball is thrown vertically down from the edge of a cliff with a speed of 8 m/s, how high is the
cliff, if it took 6 s for the ball to reach the ground?
13. What is the landing velocity of an object that is dropped from a height of 49 m?
14. An object accelerates from rest, with a constant acceleration of 7.4 m/s2, what will its velocity be
after 5.4 s?
15. An object is traveling with a constant velocity of 2.0 m/s. How far will it have gone after 38 s?
Homework
16. An object accelerates from rest to a velocity of 22 m/s over a distance of 35 m. What was its
acceleration?
17. An object is dropped from a height of 100 m, how long is it in the air?
18. An object is moving with an initial velocity of 5.5 m/s. It is then subject to a constant acceleration
of 2.5 m/s2 for 11 s. How far will it have traveled during the time of its acceleration?
19. A pump can throw a stream of water up to 29.6 m. What is the initial speed of the stream when it
leaves a hose nozzle?
20. A stone is dropped from the roof of a building. It took 5 s for the stone to reach the ground. What
is the height of the building?
21. What is the landing velocity of an object that is thrown vertically down with a velocity of 5 m/s
from a height of 25 m?
22.
An object accelerates from rest with a constant acceleration of 7.5 m/s2. How fast will it be
traveling after it goes 12 m?
23. An object is traveling at a constant velocity of 11 m/s when it experiences a constant
acceleration of 1.5 m/s2 for a time of 14 s. What will its velocity be after that acceleration?
24. An object is thrown vertically up with a velocity of 35 m/s. What was the maximum height it
reached?
25. A boy throws a ball vertically up and catches it after 3 s. What height did the ball reach?
26. An object is moving at a velocity of 5.8 m/s. It accelerates to a velocity of 25 m/s over a time of
3.3 s. What acceleration did it experience?
27. A car which is traveling at a velocity of 9.6 m/s undergoes an acceleration of 4.2 m/s2 over a
distance of 450 m. How fast is it going after that acceleration?
28. A marble is projected vertically up by a spring gun, and reaches the maximum height of 9.8 m.
What is the initial speed of the marble? How long did it take the marble to reach maximum
height?
29. An arrow is shot vertically up by a bow, and after 8 s returns to the ground level. What is the
initial velocity of the arrow? How high did it go?
1) 566.25 m
17) 4.52 s
2) 92.4 m/s
18) 211.75 m
3) 10.6 m/s, 75.9 m
19) 24.1 m/s
4) 12 m
20) 122.5 m
5) 8.26 m/s2
21) -22.7 m/s
6) 10 s
22) 13.42 m/s
7) 99.69 m/s
23) 32 m/s
8) 82 m/s
24) 62.5 m
9) 44.1 m
25) 11.025 m
10) 36.1 m/s
26) 5.82 m/s2
2
11) 4.15 m/s
27) 62.2 m/s
12) 224.4 m
28) 13.86m/s, 1.41s
13) -30.99 m/s
29) 39.2 m/s, 78.4m
14) 39.96 m/s
15) 76 m
16) 6.91 m/s2