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 23 m/sec in 8 seconds. How far does it travel during this period of acceleration?
92 meters
184 meters
368 meters
46 meters
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Question 2
What acceleration did the car is
Question 1
experience?
3.31 m/sec
^{2}
2.88 m/sec
^{2}
11.50 m/sec
^{2}
0.35 m/sec
^{2}
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Question 3
Scenario #2:
A pickup truck moving at 35 m/sec must come to a stop in a distance of 195 meters to avoid hitting a boulder that has fallen onto the road. How much time does the driver have to avoid an accident?
11.1 seconds
19.5 seconds
17.5 seconds
2.8 seconds
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Question 4
What acceleration did the truck experience in
Question 2
?
-1.79 m/sec
^{2}
-3.14 m/sec
^{2}
-8.75 m/sec
^{2}
-5.57 m/sec
^{2}
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Question 5
Scenario #3:
A row boat, starting from rest, takes 8 seconds to travel 35 meters. If the boat maintains a uniform acceleration, what will be its instantaneous velocity at the end of this intial 8-second period?
8.75 m/sec
4.38 m/sec
8.37 m/sec
2.83 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 195 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?
45.7 seconds
18.9 seconds
18.3 seconds
26.3 seconds
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Question 7
What acceleration did the row boat initially experience in
Question 5
?
1.33 m/sec
^{2}
0.55 m/sec
^{2}
0.32 m/sec
^{2}
1.09 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 78 meters in 8.75 seconds. What was the cart's initial velocity at the top of the hill after a subtle, not so official, push-start?
1.02 m/sec
0.13 m/sec
0.23 m/sec
0.20 m/sec
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Question 9
What was the cart's final velocity when it reached the bottom of the hill?
17.7 m/sec
3.0 m/sec
8.9 m/sec
12.6 m/sec
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