Mechanics - Kinematics for Competitive Exam Success

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Mechanics - Kinematics

Q. A car moving at 15 m/s comes to a stop in 5 seconds. What is its acceleration? (2019)

A. -2 m/s²
B. -3 m/s²
C. -4 m/s²
D. -5 m/s²

Solution

Using the formula: acceleration = (final velocity - initial velocity) / time. Acceleration = (0 - 15) / 5 = -3 m/s².

Correct Answer: A — -2 m/s²

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Q. A cyclist travels at a speed of 10 m/s for 15 seconds. What distance does he cover? (2022)

A. 100 m
B. 150 m
C. 200 m
D. 250 m

Solution

Distance = speed * time = 10 m/s * 15 s = 150 m.

Correct Answer: B — 150 m

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Q. A projectile is launched at an angle of 30 degrees with an initial speed of 20 m/s. What is the maximum height it reaches? (2022)

A. 5 m
B. 10 m
C. 15 m
D. 20 m

Solution

Using the formula: H = (u² * sin²θ) / (2g). H = (20² * (1/2)) / (2 * 9.8) = 10.2 m, approximately 10 m.

Correct Answer: B — 10 m

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Q. A stone is thrown downward with an initial velocity of 5 m/s from a height of 45 m. How long will it take to hit the ground? (2020)

A. 3 s
B. 4 s
C. 5 s
D. 6 s

Solution

Using the equation of motion: h = ut + 0.5gt². Solving for t gives t ≈ 4 seconds.

Correct Answer: B — 4 s

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Q. A train starts from rest and accelerates uniformly at 2 m/s². What is its speed after 10 seconds? (2021)

A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s

Solution

Using the formula: final velocity = initial velocity + acceleration * time. Final velocity = 0 + 2 * 10 = 20 m/s.

Correct Answer: B — 20 m/s

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Q. An object moves with a uniform speed of 5 m/s. How far will it travel in 20 seconds? (2023)

A. 50 m
B. 75 m
C. 100 m
D. 125 m

Solution

Distance = speed * time = 5 m/s * 20 s = 100 m.

Correct Answer: C — 100 m

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