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 19 m/sec in 9 seconds. How far does it travel during this period of acceleration?
43 meters
86 meters
171 meters
342 meters
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Question 2
What acceleration did the car is
Question 1
experience?
2.11 m/sec
^{2}
9.50 m/sec
^{2}
0.47 m/sec
^{2}
2.01 m/sec
^{2}
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Question 3
Scenario #2:
A pickup truck moving at 33 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?
3.2 seconds
16.5 seconds
20.9 seconds
12.7 seconds
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Question 4
What acceleration did the truck experience in
Question 2
?
-2.61 m/sec
^{2}
-6.33 m/sec
^{2}
-8.25 m/sec
^{2}
-1.58 m/sec
^{2}
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Question 5
Scenario #3:
A row boat, starting from rest, takes 9 seconds to travel 33 meters. If the boat maintains a uniform acceleration, what will be its instantaneous velocity at the end of this intial 9-second period?
3.00 m/sec
7.33 m/sec
3.67 m/sec
8.12 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 9 seconds for the remainder of the trip, how much total time will it need to reach the opposite shore?
22.6 seconds
24.0 seconds
33.0 seconds
41.7 seconds
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Question 7
What acceleration did the row boat initially experience in
Question 5
?
0.25 m/sec
^{2}
1.22 m/sec
^{2}
0.41 m/sec
^{2}
0.81 m/sec
^{2}
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Question 8
Scenario #4:
A go-cart, accelerating down a hill at 2.25 m/sec
^{2}
can travel 78 meters in 8.25 seconds. What was the cart's initial velocity at the top of the hill after a subtle, not so official, push-start?
0.21 m/sec
1.15 m/sec
0.14 m/sec
0.27 m/sec
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Question 9
What was the cart's final velocity when it reached the bottom of the hill?
9.5 m/sec
13.3 m/sec
3.0 m/sec
18.8 m/sec
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