Motion In One Dimension

The acceleration ($a$) -time ($t$) graph for the body starting from rest is as shown in the figure. The maximum speed of the body is

Two cars, P and Q move toward each other, getting $8\ \text{m}$ closer every second. If they move in the same direction, they get $0.6\ \text{m}$ closer every second. If car P is faster than car Q then, the ratio of…

A train accelerates from rest at a constant rate 'p' for some time (attains velocity 'v') and then retards to rest at the constant rate 'q'. If the total distance covered by the train is 's', then the velocity 'v' of…

For uniform acceleration in linear motion which of the following is NOT CORRECT?

A block is kept on the floor of an elevator at rest. The elevator starts descending with acceleration of $5\ \text{m/s}^2$. The displacement of the block during the first $0.2\ \text{s}$ after the start is $\{$Take $g =…

The distance travelled by a particle starting from rest and moving with an acceleration $\frac{4}{3} \mathrm{~ms}^{-2}$, in the third second is:

The displacement-time graph of a moving particle is shown below The instantaneous velocity of the particle is negative at the point

A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point

The acceleration of a train between two stations is shown in the figure. The maximum speed of the train is

Which graph shows the correct $v-x$ graph of a freely falling body?

Select the graph which represents the motion of a particle along a straight line with uniform acceleration.

The graph of an object moving with speed v for a time t is shown below. The graph that shows the distance s travelled by the same object for a time t is