Two bodies of different masses m_a and m_b are dropped from two different heights a and b. The ratio of the time taken by the two to cover these distances are 

(1) a : b

(2) b : a

(3) $\sqrt{a}:\sqrt{b}$

(4) $a^2:b^2$

A body falls freely from rest. It covers as much distance in the last second of its motion as covered in the first three seconds. The body has fallen for a time of 

(1) 3 s

(2) 5 s

(3) 7 s

(4) 9 s

A stone is dropped into water from a bridge 44.1 m above the water. Another stone is thrown vertically downward 1 sec later. Both strike the water simultaneously. What was the initial speed of the second stone?

(1) 12.25 m/s

(2) 14.75 m/s

(3) 16.23 m/s

(4) 17.15 m/s

A body is released from a great height and falls freely towards the earth. Another body is released from the same height exactly one second later. The separation between the two bodies, two seconds after the release of the second body is 

(1) 4.9 m

(2) 9.8 m

(3) 19.6 m

(4) 24.5 m

An object is projected upwards with a velocity of 100 m/s. It will strike the ground after (approximately) 

(1) 10 sec

(2) 20 sec

(3) 15 sec

(4) 5 sec

A stone dropped from the top of the tower touches the ground in 4 sec. The height of the tower is about 

(1) 80 m

(2) 40 m

(3) 20 m

(4) 160 m

A body is released from the top of a tower of height h. It takes t sec to reach the ground. Where will be the ball after time t/2 sec 

(1) At h/2 from the ground

(2) At h/4 from the ground

(3) Depends upon mass and volume of the body

(4) At 3h/4 from the ground

A particle is projected up with an initial velocity of $80ft/\sec$. The ball will be at a height of $96ft$ from the ground after (Given $g= 32 ft/s^2$ )

(1) 2.0 and 3.0 sec

(2) Only at 3.0 sec

(3) Only at 2.0 sec

(4) After 1 and 2 sec

A body falls from rest, its velocity at the end of first second is $(g=32ft/{\sec }^2)$ 

(1) $16ft/\sec$

(2) $\text{32\hspace{0.17em}\hspace{0.17em}}ft/\sec$

(3) $64ft/\sec$

(4) $24ft/\sec$ 

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  

(1) $3u^2/g$

(2) $4u^2/g$

(3) $6u^2/g$

(4) $9u^2/g$