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.
omit
Question 1
Scenario #1:
A car accelerates uniformly from rest to a final speed of 19 m/sec in 8 seconds. How far does it travel during this period of acceleration?
304 meters
38 meters
152 meters
76 meters
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Question 2
What acceleration did the car is
Question 1
experience?
9.50 m/sec
^{2}
2.38 m/sec
^{2}
2.26 m/sec
^{2}
0.42 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 217 meters to avoid hitting a boulder that has fallen onto the road. How much time does the driver have to avoid an accident?
14.0 seconds
15.5 seconds
3.5 seconds
21.7 seconds
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Question 4
What acceleration did the truck experience in
Question 2
?
-7.00 m/sec
^{2}
-1.43 m/sec
^{2}
-2.21 m/sec
^{2}
-7.75 m/sec
^{2}
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Question 5
Scenario #3:
A row boat, starting from rest, takes 8 seconds to travel 31 meters. If the boat maintains a uniform acceleration, what will be its instantaneous velocity at the end of this intial 8-second period?
7.87 m/sec
2.83 m/sec
7.75 m/sec
3.88 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 217 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?
32.0 seconds
21.2 seconds
40.0 seconds
24.0 seconds
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Question 7
What acceleration did the row boat initially experience in
Question 5
?
0.97 m/sec
^{2}
0.48 m/sec
^{2}
1.24 m/sec
^{2}
0.25 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 62 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?
0.26 m/sec
1.03 m/sec
0.28 m/sec
0.22 m/sec
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Question 9
What was the cart's final velocity when it reached the bottom of the hill?
8.0 m/sec
2.8 m/sec
11.2 m/sec
15.7 m/sec
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