A particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of \(1~\text{m}\) each will then be:

1.	All equal, being equal to \(\sqrt{2 / g} \) s.
2.	In the ratio of the square roots of the integers \(1,2,3....\)
3.	In the ratio of the difference in the square roots of the integers \(\sqrt{1}\), \((\sqrt{2}-\sqrt{1})\),\((\sqrt{3}-\sqrt{2})\),\((\sqrt{4}-\sqrt{3})\) \( \ldots\)
4.	In the ratio of the reciprocal of the square roots of the integers i.e,... \(\frac{1}{\sqrt{1}}\), \(\frac{1}{\sqrt{2}}\), \(\frac{1}{\sqrt{3}}\),\(\frac{1}{\sqrt{4}} \)

The graph between the displacement \(x\) and time \(t\) for a particle moving in a straight line is shown in the figure.

During the interval OA, AB, BC and CD the acceleration of the particle is:

A lift is going up. The variation in the speed of the lift is as given in the graph. What is the height to which the lift takes the passengers?

The velocity-time \((v\text-t)\) graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in \(6\) s are, respectively: 

1. \(8\) m, \(16\) m
2. \(16\) m, \(8\) m
3. \(16\) m, \(16\) m
4. \(8\) m, \(8\) m

In the following graph, the distance travelled by the body in metres is:

Which graph represents a uniformly accelerated motion?

1.		2.
3.		4.

Which of the following velocity-time graphs shows a realistic situation for a body in motion?

1.		2.
3.		4.

Acceleration-time graph of a body is shown.

 
The corresponding velocity-time graph of the same body is: 

1.		2.
3.		4.

Given below are two statements: 

The acceleration of a particle starting from rest varies with time according to the relation \(A= - a\omega^2\sin \omega t\). The displacement of this particle at a time \(t\) will be: