Kinematics Study Materials for Competitive Exams

Kinematics

Motion in One Dimension Motion in Two Dimensions Relative Motion

Q. Two cars start from the same point and travel in opposite directions. If car A travels at 40 km/h and car B at 60 km/h, how far apart will they be after 1 hour?

A. 50 km
B. 80 km
C. 100 km
D. 120 km

Solution

Relative speed = 40 + 60 = 100 km/h. Distance apart after 1 hour = 100 km.

Correct Answer: B — 80 km

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Q. Two cyclists start from the same point and ride in opposite directions at speeds of 12 km/h and 15 km/h. How far apart will they be after 2 hours?

A. 54 km
B. 60 km
C. 30 km
D. 42 km

Solution

Relative speed = 12 + 15 = 27 km/h. Distance apart after 2 hours = 27 * 2 = 54 km.

Correct Answer: B — 60 km

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Q. Two cyclists start from the same point and ride in opposite directions at speeds of 15 km/h and 20 km/h. How far apart will they be after 1 hour?

A. 25 km
B. 30 km
C. 35 km
D. 40 km

Solution

Distance apart = (15 + 20) * 1 = 35 km.

Correct Answer: B — 30 km

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Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which will hit the ground first?

A. 30 degrees
B. 60 degrees
C. Both hit at the same time
D. Depends on the speed

Solution

Both will hit the ground at the same time as they are thrown from the same height.

Correct Answer: C — Both hit at the same time

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Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which one will have a longer range?

A. 30 degrees
B. 60 degrees
C. Both have the same range
D. Cannot be determined

Solution

The range is maximum at 45 degrees; hence, the 30-degree projectile will have a longer range than the 60-degree one.

Correct Answer: A — 30 degrees

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Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which will land first?

A. 30 degrees
B. 60 degrees
C. Both land at the same time
D. Depends on the initial speed

Solution

Both will land at the same time as they are thrown from the same height.

Correct Answer: C — Both land at the same time

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Q. Two objects are thrown simultaneously from the same height but at different angles. If both have the same initial speed, which will hit the ground first?

A. Object at 30 degrees
B. Object at 45 degrees
C. Object at 60 degrees
D. Both hit at the same time

Solution

All objects hit the ground at the same time if launched from the same height with the same speed.

Correct Answer: D — Both hit at the same time

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Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which will have a greater range?

A. 30 degrees
B. 60 degrees
C. Both have the same range
D. Cannot be determined

Solution

Both angles will have the same range when launched from the same height.

Correct Answer: A — 30 degrees

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Q. Two observers are moving towards each other at speeds of 20 m/s and 30 m/s. What is the relative velocity of one observer with respect to the other?

A. 10 m/s
B. 20 m/s
C. 50 m/s
D. 60 m/s

Solution

Relative velocity = Velocity of observer 1 + Velocity of observer 2 = 20 m/s + 30 m/s = 50 m/s.

Correct Answer: C — 50 m/s

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Q. Two observers are moving towards each other at speeds of 20 m/s and 30 m/s. What is the relative velocity of one observer as seen by the other?

A. 10 m/s
B. 20 m/s
C. 50 m/s
D. 60 m/s

Solution

Relative velocity = Velocity of observer 1 + Velocity of observer 2 = 20 m/s + 30 m/s = 50 m/s.

Correct Answer: C — 50 m/s

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Q. Two observers are moving towards each other at speeds of 20 m/s and 30 m/s. What is the speed of one observer as seen by the other?

A. 10 m/s
B. 20 m/s
C. 50 m/s
D. 60 m/s

Solution

Relative speed = Speed of observer 1 + Speed of observer 2 = 20 m/s + 30 m/s = 50 m/s.

Correct Answer: C — 50 m/s

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Q. Two trains are moving towards each other at speeds of 60 km/h and 90 km/h. If they are 300 km apart, how long will they take to meet?

A. 1.5 hours
B. 2 hours
C. 2.5 hours
D. 3 hours

Solution

Relative speed = 60 + 90 = 150 km/h. Time = distance/speed = 300/150 = 2 hours.

Correct Answer: B — 2 hours

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Q. Two trains are moving towards each other on parallel tracks. Train A is moving at 60 km/h and Train B at 90 km/h. What is their relative speed?

A. 30 km/h
B. 60 km/h
C. 150 km/h
D. 90 km/h

Solution

Relative speed = Speed of A + Speed of B = 60 km/h + 90 km/h = 150 km/h.

Correct Answer: C — 150 km/h

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Kinematics

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