Motion in a Plane Test

Result

Motion in a Plane Test - 21

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Weekly Quiz Competition

Question 1
4 / -1

A stone thrown upward with a speed u from the top of the tower reaches the ground with a velocity 3u. The height of the tower is

A
3u²/g

B
4u²/g

C
6u²/g

D
9u²/g

Solution
Question 2
4 / -1

Drops of water fall from the roof of a building 9m high at regular intervals of time, the first drop reaching the ground at the same instant fourth drop starts its fall. What are the distances of the second and third drops from the roof ?

A
6m and 2m

B
6m and 3m

C
4m and 1m

D
4m and 2m

Solution
Question 3
4 / -1

A particle moves along X-axis in such a way that its co-ordinate (x) varies with time t according to expression x = 2 – 5t + 6t². The initial velocity of the particle is

A
–5m/s

B
–3m/s

C
6m/s

D
3m/s

Solution
Question 4
4 / -1

The velocity time relation of a particle starting from rest is given by ν = kt where k = 2m/s² . The distance traversed in 3 sec is

A
9m

B
16m

C
27m

D
36m

Solution
Question 5
4 / -1

A stone is dropped from the top of a tower. If it covers 24.5 m in its last second of its motion, the height of the tower is

A
44.1m

B
49.m

C
78.4m

D
72.m

Solution
Question 6
4 / -1

The initial velocity of a particle is u (at t =0) and the acceleration f is given by at². Its velocity ν at time t is

A

B

C

D

Solution
Question 7
4 / -1

A man in a balloon rising vertically with an acceleration of 4.9 m/sec² releases a ball 2 seconds after the balloon is let go from the ground. The greatest height above the ground reached by the ball is (g = 9.8 m/sec²)

A
14.7 m

B
19.6 m

C
9.8 m

D
24.5 m

Solution
Question 8
4 / -1

A boy sitting on the topmost berth in the compartment of a train which is just going to stop on a railway station, drops an apple aiming at the open hand of his brother situated vertically below his hands at a distance of about 2 metres. The apple will fall

A
precisely in the hand of his brother

B
slightly away from the hand of his brother in the direction of motion of the train

C
slightly away from the hand of his brother in the direction opposite to the direction of motion of the train

D
none of the above
Question 9
4 / -1

The velocity-time graph of a body is shown in fig. It implies that at point B.

A
the force is zero

B
there is a force towards motion

C
there is a force which opposes motion

D
there is only gravitational force
Question 10
4 / -1

A point moves in a straight line so that its displacement x metres at time t seconds is given by x² = 1 + t². Its acceleration in ms^–2 at time t seconds is

A

B

C

D

Solution