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 20 m/sec in 8 seconds. How far does it travel during this period of acceleration?
80 meters
40 meters
320 meters
160 meters
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Question 2
What acceleration did the car is
Question 1
experience?
10.00 m/sec
^{2}
2.50 m/sec
^{2}
0.40 m/sec
^{2}
2.50 m/sec
^{2}
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Question 3
Scenario #2:
A pickup truck moving at 30 m/sec must come to a stop in a distance of 206 meters to avoid hitting a boulder that has fallen onto the road. How much time does the driver have to avoid an accident?
13.7 seconds
15.0 seconds
3.4 seconds
20.6 seconds
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Question 4
What acceleration did the truck experience in
Question 2
?
-6.87 m/sec
^{2}
-2.18 m/sec
^{2}
-7.50 m/sec
^{2}
-1.46 m/sec
^{2}
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Question 5
Scenario #3:
A row boat, starting from rest, takes 8 seconds to travel 30 meters. If the boat maintains a uniform acceleration, what will be its instantaneous velocity at the end of this intial 8-second period?
7.50 m/sec
7.75 m/sec
2.83 m/sec
3.75 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 206 meters wide. If the boat continues maintaining the final velocity it achieves at the end of 8 seconds for the remainder of the trip, how much total time will it need to reach the opposite shore?
38.8 seconds
31.5 seconds
21.0 seconds
23.5 seconds
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Question 7
What acceleration did the row boat initially experience in
Question 5
?
1.24 m/sec
^{2}
0.25 m/sec
^{2}
0.47 m/sec
^{2}
0.94 m/sec
^{2}
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Question 8
Scenario #4:
A go-cart, accelerating down a hill at 2 m/sec
^{2}
can travel 58 meters in 7.5 seconds. What was the cart's initial velocity at the top of the hill after a subtle, not so official, push-start?
0.26 m/sec
0.27 m/sec
1.03 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?
10.8 m/sec
7.7 m/sec
2.7 m/sec
15.2 m/sec
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