The displacement time graph of a moving particle is shown in the figure below. The instantaneous velocity of the particle is negative at the point:

     

1.	D	2.	F
3.	C	4.	E

A ball is thrown vertically upwards. Then the velocity-time (v-t) graph will be:

1.		2.
3.		4.

A person standing on the floor of an elevator drops a coin. The coin reaches the floor in time $t_1$ if the elevator is moving uniformly and time $t_2$ if the elevator is stationary. Then:

A particle moves along a path \(ABCD\) as shown in the figure. The magnitude of the displacement of the particle from \(A\) to \(D\) is:

1. $(5+10\sqrt{2})$m
2. \(10\) m
3. $15\sqrt{2}$ m
4. \(15\) m

For the following acceleration versus time graph, the corresponding velocity versus displacement graph is:

1.		2.
3.		4.

A stone falls freely from rest from a height h and it travels a distance of $\frac{9h}{25}$ in the last second. The value of h is:

The initial velocity of a particle is u (at t = 0) and the acceleration f is given by at. Which of the following relation is valid?

1. $v=u+a{t}^2$

2. $v=u+a\frac{t^2}{2}$

3. $v=u+at$

4. v = u

Which of the following four statements is false?

Two cars A and B are travelling in the same direction with velocities v₁ and v₂ $(v_1>v_2)$. When the car A is at a distance d behind car B, the driver of the car A applied the brake producing uniform retardation a. There will be no collision when-

1. $d<\frac{{(v_1-v_2)}^2}{2a}$

2. $d<\frac{v_1^2-v_2^2}{2a}$

3. $d>\frac{{(v_1-v_2)}^2}{2a}$

4. $d>\frac{v_1^2-v_2^2}{2a}$