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 21 m/sec in 8 seconds. How far does it travel during this period of acceleration?
336 meters
84 meters
42 meters
168 meters
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Question 2
What acceleration did the car is
Question 1
experience?
10.50 m/sec
^{2}
2.76 m/sec
^{2}
0.38 m/sec
^{2}
2.63 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 199 meters to avoid hitting a boulder that has fallen onto the road. How much time does the driver have to avoid an accident?
12.1 seconds
16.5 seconds
19.9 seconds
3.0 seconds
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Question 4
What acceleration did the truck experience in
Question 2
?
-6.03 m/sec
^{2}
-2.74 m/sec
^{2}
-1.66 m/sec
^{2}
-8.25 m/sec
^{2}
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Question 5
Scenario #3:
A row boat, starting from rest, takes 8 seconds to travel 33 meters. If the boat maintains a uniform acceleration, what will be its instantaneous velocity at the end of this intial 8-second period?
8.12 m/sec
8.25 m/sec
2.83 m/sec
4.13 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 199 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?
28.1 seconds
42.9 seconds
19.6 seconds
20.1 seconds
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Question 7
What acceleration did the row boat initially experience in
Question 5
?
1.03 m/sec
^{2}
0.52 m/sec
^{2}
1.29 m/sec
^{2}
0.29 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 70 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?
0.24 m/sec
0.20 m/sec
1.03 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?
8.5 m/sec
2.9 m/sec
16.7 m/sec
11.9 m/sec
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