A body is projected up with a speed \(u\) and the time taken by it is \(T\) to reach the maximum height \(H\). Pick out the correct statement.

1.	It reaches \(\frac{H}{2}\) in \(\frac{T}{2}\) sec
2.	It acquires velocity \(\frac{u}{2}\) in \(\frac{T}{2}\)
3.	Its velocity is \(\frac{u}{2}\) at \(\frac{H}{2}\)
4.	Same velocity at \(2T\)

A body falling for 2 seconds covers a distance S equal to that covered in next second. Taking $g=10m/s^2,S=$

(1) 30 m

(2) 10 m

(3) 60 m

(4) 20 m

A body dropped from a height h with an initial speed of zero, strikes the ground with a velocity $3km/h$. Another body of the same mass is dropped from the same height h with an initial speed $-u^{\text{'}}=4km/h$. Find the final velocity of the second body with which it strikes the ground.

(1) 3 km/h

(2) 4 km/h

(3) 5 km/h

(4) 12 km/h

A ball of mass m₁ and another ball of mass m₂ are dropped from equal height. If time taken by the balls are t₁ and t₂ respectively, then 

1. $t_1=\frac{t_2}{2}$

2. $t_1=t_2$

3. $t_1=4t_2$

4. $t_1=\frac{t_2}{4}$ 

With what velocity a ball be projected vertically so that the distance covered by it in 5^th second is twice the distance it covers in its 6^th second $(g=10m/s^2)$ 

(1) 58.8 m/s

(2) 49 m/s

(3) 65 m/s

(4) 19.6 m/s

A ball is dropped downwards. After 1 second another ball is dropped downwards from the same point. What is the distance between them after 3 seconds 

1.  25 m
2.  20 m
3.  50 m
4.  9.8 m

A stone is thrown with an initial speed of 4.9 m/s from a bridge in vertically upward direction. It falls down in water after 2 sec. The height of the bridge is 

(1) 4.9 m

(2) 9.8 m

(3) 19.8 m

(4) 24.7 m

A stone is shot straight upward with a speed of 20 m/sec from a tower 200 m high. The speed with which it strikes the ground is approximately 

(1) 60 m/sec

(2) 65 m/sec

(3) 70 m/sec

(4) 75 m/sec

A body freely falling from the rest has a velocity ‘v’ after it falls through a height ‘h’. The distance it has to fall down for its velocity to become double, is 

(1) 2 h

(2) 4 h

(3) 6 h

(4) 8 h

Velocity of a body on reaching the point from which it was projected upwards, is 

1. $v=0$

2. $v=2u$

3. $v=0.5u$

4. $v=-u$