Practice Problems
Uniformly Accelerated Motion
Directions:
On this worksheet you will practice solving problems by using the
five basic kinematics equations
for uniformly accelerated motion.
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Question 1
Scenario #1:
A car accelerates uniformly from rest to a final speed of 24 m/sec in 10 seconds. How far does it travel during this period of acceleration?
120 meters
480 meters
60 meters
240 meters
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Question 2
What acceleration did the car is
Question 1
experience?
2.88 m/sec
^{2}
0.42 m/sec
^{2}
12.00 m/sec
^{2}
2.40 m/sec
^{2}
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Question 3
Scenario #2:
A pickup truck moving at 31 m/sec must come to a stop in a distance of 209 meters to avoid hitting a boulder that has fallen onto the road. How much time does the driver have to avoid an accident?
20.9 seconds
15.5 seconds
13.5 seconds
3.4 seconds
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Question 4
What acceleration did the truck experience in
Question 2
?
-1.48 m/sec
^{2}
-6.74 m/sec
^{2}
-2.30 m/sec
^{2}
-7.75 m/sec
^{2}
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Question 5
Scenario #3:
A row boat, starting from rest, takes 10 seconds to travel 31 meters. If the boat maintains a uniform acceleration, what will be its instantaneous velocity at the end of this intial 10-second period?
6.20 m/sec
3.10 m/sec
7.87 m/sec
3.16 m/sec
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Question 6
At the point in the stream where the boat in
Question 5
is crossing, the stream is a total of 209 meters wide. If the boat continues maintaining the final velocity it achieves at the end of 10 seconds for the remainder of the trip, how much total time will it need to reach the opposite shore?
28.7 seconds
38.3 seconds
26.0 seconds
38.7 seconds
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Question 7
What acceleration did the row boat initially experience in
Question 5
?
1.16 m/sec
^{2}
0.20 m/sec
^{2}
0.31 m/sec
^{2}
0.62 m/sec
^{2}
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Question 8
Scenario #4:
A go-cart, accelerating down a hill at 2.5 m/sec
^{2}
can travel 77 meters in 7.75 seconds. What was the cart's initial velocity at the top of the hill after a subtle, not so official, push-start?
0.32 m/sec
0.29 m/sec
1.28 m/sec
0.21 m/sec
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Question 9
What was the cart's final velocity when it reached the bottom of the hill?
3.1 m/sec
9.9 m/sec
19.6 m/sec
13.9 m/sec
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