Motion in One Dimension
Q. An object is thrown upwards with a speed of 20 m/s. How long will it take to reach the maximum height? (Assume g = 10 m/s²)
A.
1 s
B.
2 s
C.
3 s
D.
4 s
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Solution
Time to reach maximum height = initial velocity / g = 20 m/s / 10 m/s² = 2 s.
Correct Answer: B — 2 s
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Q. An object is thrown vertically upward with a speed of 30 m/s. How high will it rise before coming to rest?
A.
45 m
B.
90 m
C.
135 m
D.
180 m
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Solution
Using the formula: h = (v² - u²) / (2g), where v = 0 m/s, u = 30 m/s, g = 9.8 m/s². h = (0 - 30²) / (2 * -9.8) = 45.92 m, approximately 45 m.
Correct Answer: B — 90 m
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Q. An object is thrown vertically upwards with a speed of 30 m/s. How high will it rise before coming to rest momentarily?
A.
45 m
B.
60 m
C.
90 m
D.
135 m
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Solution
Using the formula: h = (v² - u²) / (2g), where v = 0 m/s (at the highest point), u = 30 m/s, g = 9.8 m/s². h = (0 - 30²) / (2 * -9.8) = 45.92 m, approximately 45 m.
Correct Answer: B — 60 m
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Q. An object moves with a uniform speed of 15 m/s. How far will it travel in 20 seconds?
A.
150 m
B.
300 m
C.
450 m
D.
600 m
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Solution
Distance = speed * time = 15 m/s * 20 s = 300 m.
Correct Answer: B — 300 m
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Q. If a car moving with a speed of 30 m/s applies brakes and comes to a stop in 5 seconds, what is the acceleration?
A.
-6 m/s²
B.
-5 m/s²
C.
-4 m/s²
D.
-3 m/s²
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Solution
Using the formula: acceleration = (final velocity - initial velocity) / time. Acceleration = (0 - 30) / 5 = -6 m/s².
Correct Answer: B — -5 m/s²
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Q. If a car moving with a speed of 30 m/s comes to a stop in 5 seconds, what is its deceleration?
A.
2 m/s²
B.
3 m/s²
C.
4 m/s²
D.
5 m/s²
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Solution
Deceleration = (final velocity - initial velocity) / time = (0 - 30) / 5 = -6 m/s².
Correct Answer: A — 2 m/s²
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Q. If a car travels 100 m in the first 5 seconds and 150 m in the next 5 seconds, what is its average speed over the 10 seconds?
A.
25 m/s
B.
30 m/s
C.
35 m/s
D.
40 m/s
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Solution
Total distance = 100 m + 150 m = 250 m. Total time = 10 s. Average speed = total distance / total time = 250 m / 10 s = 25 m/s.
Correct Answer: B — 30 m/s
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