A body thrown vertically upwards with an initial velocity u reaches maximum height in 6 seconds. The ratio of the distances travelled by the body in the first second and the seventh second is 

1. 1 : 1

2. 11 : 1

3. 1 : 2

4. 1 : 11

A particle is thrown vertically upwards. If its velocity at half of the maximum height is 10 m/s, then maximum height attained by it is (Take g = 10 m/s²) 

1. 8 m

2. 10 m

3. 12 m

4. 16 m

A body, thrown upwards with some velocity, reaches the maximum height of 20m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height of 

1. 200 m

2. 16 m

3. 80 m

4. 40 m

A balloon starts rising from the ground with an acceleration of 1.25 m/s² . After 8s, a stone is released from the balloon. The stone will (g = 10 m/s²) 

1. Reach the ground in 4 second

2. Begin to move down after being released

3. Have a displacement of 50 m

4. Cover a distance of 40 m in reaching the ground

A body is thrown vertically upwards with a velocity u. Find the true statement from the following:

1. Both velocity and acceleration are zero at its highest point

2. Velocity is maximum and acceleration is zero at the highest point

3. Velocity is maximum and acceleration is g downwards at its highest point

4. Velocity is zero at the highest point and maximum height reached is $u^2/2g$

A man throws a ball vertically upward and it rises through 20 m and returns to his hands. What was the initial velocity (u) of the ball and for how much time (T) it remained in the air $[g=10m/s^2]$ 

1. u = 10 m/s, T = 2s

2. u = 10 m/s, T = 4s

3. u = 20 m/s, T = 2s

4. u = 20 m/s, T = 4s

A particle when thrown moves such that it passes from the same height at 2 sec and 10 sec, the height is:

1. g

2. 2g

3. 5g

4. 10g

From the top of a tower, a particle is thrown vertically downwards with a velocity of 10 m/s. The ratio of the distances, covered by it in the 3^rd and 2^nd seconds of the motion is (Take $g=10m/s^2$) 

1. 5 : 7  

2. 7 : 5

3. 3 : 6

4. 6 : 3

Two balls A and B of same masses are thrown from the top of the building. A, thrown upward with velocity v and B, thrown downward with velocity v, then 

1. Velocity of A is more than B at the ground

2. Velocity of B is more than A at the ground

3. Both A & B strike the ground with same velocity

4. None of these

A cricket ball is thrown up with a speed of 19.6 ms^–1. The maximum height it can reach is:

1. 9.8 m

2. 19.6 m

3. 29.4 m

4. 39.2 m