The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2m on the surface of A. What is the height of jump by the same person on the planet B 

(1) 18m

(2) 6m

(3) $\frac{2}{3}m$

(4) $\frac{2}{9}m$

A body falls from rest in the gravitational field of the earth. The distance travelled in the fifth second of its motion is $(g=10m/s^2)$ 

(1) 25m

(2) 45m

(3) 90m

(4) 125m

If a body is thrown up with the velocity of 15 m/s, then the maximum height attained by the body is: (assume g = 10 m/s²) 

1. 11.25 m

2. 16.2 m

3. 24.5 m

4. 7.62 m

A balloon is rising vertically up with a velocity of 29 ms^–1. A stone is dropped from it and it reaches the ground in 10 seconds. The height of the balloon when the stone was dropped from it is (g = 9.8 ms^–2) 

(1) 100 m

(2) 200 m

(3) 400 m

(4) 150 m

A ball is released from the top of a tower of height h meters. It takes T seconds to reach the ground. What is the position of the ball in T/3 seconds? 

1. h/9 meters from the ground

2. 7h/9 meters from the ground

3. 8h/9 meters from the ground

4. 17h/18 meters from the ground

Two balls of same size but the density of one is greater than that of the other are dropped from the same height, then which ball will reach the earth first (air resistance is negligible) 

(1) Heavy ball

(2) Light ball

(3) Both simultaneously

(4) Will depend upon the density of the balls

A packet is dropped from a balloon which is going upwards with the velocity 12 m/s, the velocity of the packet after 2 seconds will be 

(1) –12 m/s

(2) 12 m/s

(3) –7.6 m/s

(4) 7.6 m/s

If a freely falling body travels in the last second a distance equal to the distance travelled by it in the first three seconds, the time of the travel is:

1. 6 sec

2. 5 sec

3. 4 sec

4. 3 sec

The effective acceleration of a body, when thrown upwards with acceleration a will be: 

1. $\sqrt{a-g^2}$

2. $\sqrt{a^2+g^2}$

3. $(a-g)$

4. $(a+g)$

A body is thrown vertically upwards with velocity u. The distance travelled by it in the fifth and the sixth seconds are equal. The velocity u is given by (g = 9.8 m/s²) 

(1) 24.5 m/s

(2) 49.0 m/s

(3) 73.5 m/s

(4) 98.0 m/s