A bus starts from rest and moves with constant acceleration 8m/s^-2. At the same time, a car travelling with a constant velocity 16 m/s overtakes and passes the bus. After how much time and at what distance, the bus overtakes the car?

1. t = 4 s, d = 64 m

2. t = 5 s, d = 72 m

3. t = 8 s, d = 58 m

4. None of the above

A lift is moving in upward direction. The total mass of the lift and the passengers is 1600 kg. The variation of the velocity of the lift is as shown in the figure. The tension in the rope at t = 8 s will be 

1. 11200 N

2. 16000 N 

3. 48000 N

4. 12000 N

Find the acceleration of light pulley is 

1. F/m

2. F/2 m

3. F/4 m

4. F/8 m

Consider a planet in some solar system which has a mass double the mass of the earth and density equal to the average density of the earth. An object weighing W on the earth will weight

A boat is sent across a river a velocity of 8 . If the resultant velocity of the boat is 10 , the river is flowing with a velocity of

1. 12.8 
2. 6 
3. 8 
4. 10 

Two balls are thrown horizontally from the top of a tower with velocities  and  in opposite directions at the same time. After how much time, the angle between velocities of balls becomes 90º?

1. 
2. 
3. 
4. 

A box is placed on an inclined plane and has to be pushed down. The angle of inclination is

1. equal to the angle of friction
2. more than the angle of friction
3. equal to the angle of repose
4. less than the angle of repose

The escape velocity from the earth is about 11. The escape velocity from a planet having twice the radius and the same mean density as the earth is

1. 22 
2. 11 
3. 5.5 
4. 15.5