Practice Problems
Uniformly Accelerated Motion
Topics:
On this worksheet you will practice working solving problems by using the
five basic kinematics equations
for uniformly accelerated motion.
Page Directions
The numerical values in this worksheet are randomly generated allowing students the opportunity to conveniently practice, and drill, common situations.
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(even when you are just starting the worksheet on Question 1)
it is necessary to
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Question 1
Scenario #1:
A car accelerates uniformly from rest to a final speed of 18 m/sec in 9 seconds. How far does it travel during this period of acceleration?
324 meters
81 meters
41 meters
162 meters
omit
Question 2
What acceleration did the car is
Question 1
experience?
1.80 m/sec
^{2}
2.00 m/sec
^{2}
0.50 m/sec
^{2}
9.00 m/sec
^{2}
omit
Question 3
Scenario #2:
A pickup truck moving at 29 m/sec must come to a stop in a distance of 183 meters to avoid hitting a boulder that has fallen onto the road. How much time does the driver have to avoid an accident?
12.6 seconds
3.2 seconds
18.3 seconds
14.5 seconds
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Question 4
What acceleration did the truck experience in
Question 2
?
-1.58 m/sec
^{2}
-6.31 m/sec
^{2}
-2.30 m/sec
^{2}
-7.25 m/sec
^{2}
omit
Question 5
Scenario #3:
A row boat, starting from rest, takes 9 seconds to travel 29 meters. If the boat maintains a uniform acceleration, what will be its instantaneous velocity at the end of this intial 9-second period?
6.44 m/sec
3.22 m/sec
7.62 m/sec
3.00 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 183 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?
36.7 seconds
32.9 seconds
23.9 seconds
22.6 seconds
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Question 7
What acceleration did the row boat initially experience in
Question 5
?
1.20 m/sec
^{2}
0.72 m/sec
^{2}
0.23 m/sec
^{2}
0.36 m/sec
^{2}
omit
Question 8
Scenario #4:
A go-cart, accelerating down a hill at 2.25 m/sec
^{2}
can travel 60 meters in 7.25 seconds. What was the cart's initial velocity at the top of the hill after a subtle, not so official, push-start?
1.14 m/sec
0.31 m/sec
0.18 m/sec
0.06 m/sec
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Question 9
What was the cart's final velocity when it reached the bottom of the hill?
16.5 m/sec
8.3 m/sec
11.7 m/sec
2.9 m/sec
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