Kinematics
Q. A ball is thrown upwards with a speed of 20 m/s. How long will it take to reach the maximum height? (Take g = 10 m/s²) (2023)
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A.
1 s
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B.
2 s
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C.
3 s
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D.
4 s
Solution
Time to reach maximum height = initial velocity / g = 20 / 10 = 2 s.
Correct Answer: B — 2 s
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Q. A ball is thrown upwards with a speed of 25 m/s. How long will it take to reach the maximum height? (Assume g = 10 m/s²)
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A.
2.5 s
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B.
3 s
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C.
4 s
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D.
5 s
Solution
Time to reach maximum height = initial velocity / g = 25 / 10 = 2.5 s.
Correct Answer: A — 2.5 s
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Q. A ball is thrown upwards with an initial velocity of 20 m/s. How long will it take to reach the maximum height? (g = 10 m/s²)
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A.
1 s
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B.
2 s
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C.
3 s
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D.
4 s
Solution
Using the formula: t = v/g = 20/10 = 2 s.
Correct Answer: B — 2 s
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Q. A ball is thrown vertically upwards with a speed of 15 m/s. How high will it rise before coming to a stop? (2023)
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A.
11.25 m
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B.
15 m
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C.
22.5 m
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D.
30 m
Solution
Using the formula: height = (initial velocity^2) / (2 * g), where g = 9.8 m/s². Height = (15^2) / (2 * 9.8) = 11.25 m.
Correct Answer: A — 11.25 m
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Q. A car moving at 30 m/s applies brakes and comes to a stop in 6 seconds. What is the distance covered during braking? (2023)
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A.
90 m
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B.
120 m
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C.
150 m
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D.
180 m
Solution
Using the formula: distance = initial velocity * time + 0.5 * acceleration * time^2. Here, acceleration = (0 - 30) / 6 = -5 m/s². Distance = 30 * 6 + 0.5 * (-5) * 6^2 = 180 - 90 = 90 m.
Correct Answer: B — 120 m
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Q. A cyclist travels at a speed of 10 m/s for 5 seconds. What distance does he cover? (2023)
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A.
25 m
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B.
50 m
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C.
75 m
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D.
100 m
Solution
Distance = speed * time = 10 m/s * 5 s = 50 m.
Correct Answer: B — 50 m
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Q. A cyclist travels at a speed of 15 m/s for 2 minutes. How far does he travel?
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A.
1800 m
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B.
1200 m
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C.
900 m
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D.
600 m
Solution
Distance = speed * time. Time in seconds = 2 * 60 = 120 s. Distance = 15 m/s * 120 s = 1800 m.
Correct Answer: A — 1800 m
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Q. A cyclist travels at a speed of 15 m/s for 20 seconds. What distance does the cyclist cover?
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A.
150 m
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B.
300 m
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C.
400 m
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D.
600 m
Solution
Distance = speed * time = 15 m/s * 20 s = 300 m.
Correct Answer: B — 300 m
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Q. A runner completes a 400 m lap in 50 seconds. What is his average velocity?
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A.
6 m/s
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B.
7 m/s
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C.
8 m/s
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D.
9 m/s
Solution
Average velocity = total distance / total time = 400 m / 50 s = 8 m/s.
Correct Answer: A — 6 m/s
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Q. A stone is thrown horizontally from a height of 45 m. How long will it take to hit the ground? (Take g = 10 m/s²) (2023)
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A.
3 s
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B.
4.5 s
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C.
5 s
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D.
6 s
Solution
Using h = 0.5 * g * t^2, we have 45 = 0.5 * 10 * t^2. Solving gives t^2 = 9, so t = 3 s.
Correct Answer: A — 3 s
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Q. A stone is thrown horizontally from the top of a cliff 45 m high. How long will it take to hit the ground? (Assume g = 10 m/s²)
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A.
3 s
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B.
4 s
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C.
5 s
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D.
6 s
Solution
Using the formula: h = 0.5 * g * t^2. Rearranging gives t = sqrt(2h/g) = sqrt(2 * 45 / 10) = sqrt(9) = 3 s.
Correct Answer: B — 4 s
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Q. A stone is thrown horizontally from the top of a cliff 80 m high. How long does it take to hit the ground? (g = 10 m/s²)
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A.
4 s
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B.
8 s
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C.
10 s
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D.
12 s
Solution
Using the formula: h = 0.5 * g * t^2. Rearranging gives t = sqrt(2h/g) = sqrt(2 * 80 / 10) = sqrt(16) = 4 s.
Correct Answer: A — 4 s
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Q. A train moving at 72 km/h applies brakes and comes to a stop in 10 seconds. What is the acceleration of the train?
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A.
-2 m/s²
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B.
-3 m/s²
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C.
-4 m/s²
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D.
-5 m/s²
Solution
First convert speed to m/s: 72 km/h = 20 m/s. Using the formula: a = (v - u) / t = (0 - 20) / 10 = -2 m/s².
Correct Answer: C — -4 m/s²
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Q. A train moving at 72 km/h applies brakes and comes to a stop in 5 seconds. What is the deceleration? (2023)
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A.
2 m/s²
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B.
3 m/s²
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C.
4 m/s²
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D.
5 m/s²
Solution
First convert speed to m/s: 72 km/h = 20 m/s. Deceleration = (final velocity - initial velocity) / time = (0 - 20) / 5 = -4 m/s².
Correct Answer: C — 4 m/s²
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Q. A train moving at 72 km/h applies brakes and comes to a stop in 5 seconds. What is the acceleration of the train?
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A.
-4 m/s²
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B.
-5 m/s²
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C.
-6 m/s²
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D.
-7 m/s²
Solution
First convert speed to m/s: 72 km/h = 20 m/s. Using the formula: acceleration = (final velocity - initial velocity) / time = (0 - 20) / 5 = -4 m/s².
Correct Answer: B — -5 m/s²
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Q. A vehicle travels 100 m in 5 seconds. What is its average speed?
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A.
10 m/s
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B.
15 m/s
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C.
20 m/s
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D.
25 m/s
Solution
Average speed = total distance / total time = 100 m / 5 s = 20 m/s.
Correct Answer: A — 10 m/s
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Q. A vehicle travels with a uniform speed of 60 km/h. How far will it travel in 2 hours? (2023)
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A.
80 km
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B.
100 km
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C.
120 km
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D.
140 km
Solution
Distance = speed * time = 60 km/h * 2 h = 120 km.
Correct Answer: C — 120 km
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Q. An object is dropped from a height of 80 m. How long will it take to reach the ground? (Take g = 10 m/s²) (2023)
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A.
4 s
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B.
8 s
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C.
10 s
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D.
12 s
Solution
Using the formula: h = 0.5 * g * t^2. Rearranging gives t = sqrt(2h/g) = sqrt(2*80/10) = sqrt(16) = 4 s.
Correct Answer: B — 8 s
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Q. An object moves with a uniform acceleration of 2 m/s². If it starts from rest, what will be its velocity after 5 seconds?
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A.
5 m/s
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B.
10 m/s
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C.
15 m/s
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D.
20 m/s
Solution
Using the formula: v = u + at, where u = 0, a = 2 m/s², t = 5 s. v = 0 + 2 * 5 = 10 m/s.
Correct Answer: B — 10 m/s
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Q. An object moves with a uniform speed of 20 m/s. How far will it travel in 15 seconds?
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A.
200 m
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B.
300 m
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C.
400 m
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D.
500 m
Solution
Distance = speed * time = 20 m/s * 15 s = 300 m.
Correct Answer: C — 400 m
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Q. If a vehicle accelerates from 0 to 60 m/s in 12 seconds, what is its acceleration?
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A.
2 m/s²
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B.
4 m/s²
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C.
5 m/s²
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D.
6 m/s²
Solution
Using the formula: a = (v - u) / t = (60 - 0) / 12 = 5 m/s².
Correct Answer: B — 4 m/s²
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