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 10 seconds. How far does it travel during this period of acceleration?
95 meters
48 meters
190 meters
380 meters
omit
Question 2
What acceleration did the car is
Question 1
experience?
1.81 m/sec
^{2}
9.50 m/sec
^{2}
1.90 m/sec
^{2}
0.53 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 201 meters to avoid hitting a boulder that has fallen onto the road. How much time does the driver have to avoid an accident?
13.9 seconds
14.5 seconds
20.1 seconds
3.5 seconds
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Question 4
What acceleration did the truck experience in
Question 2
?
-1.44 m/sec
^{2}
-7.25 m/sec
^{2}
-6.93 m/sec
^{2}
-2.09 m/sec
^{2}
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Question 5
Scenario #3:
A row boat, starting from rest, takes 10 seconds to travel 29 meters. If the boat maintains a uniform acceleration, what will be its instantaneous velocity at the end of this intial 10-second period?
7.62 m/sec
5.80 m/sec
2.90 m/sec
3.16 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 201 meters wide. If the boat continues maintaining the final velocity it achieves at the end of 10 seconds for the remainder of the trip, how much total time will it need to reach the opposite shore?
29.7 seconds
26.3 seconds
35.8 seconds
39.7 seconds
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Question 7
What acceleration did the row boat initially experience in
Question 5
?
0.19 m/sec
^{2}
0.29 m/sec
^{2}
0.58 m/sec
^{2}
1.15 m/sec
^{2}
omit
Question 8
Scenario #4:
A go-cart, accelerating down a hill at 2.5 m/sec
^{2}
can travel 67 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?
1.27 m/sec
0.20 m/sec
0.16 m/sec
0.34 m/sec
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Question 9
What was the cart's final velocity when it reached the bottom of the hill?
18.3 m/sec
13.0 m/sec
9.2 m/sec
3.0 m/sec
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