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

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 =…

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…

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

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…

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 acceleration-time graph of a body is shown below The most probable velocity-time graph of the body is

The displacement-time graph of a particle moving along a straight line is shown in the figure. The acceleration-time graph of this particle is

A balloon is rising vertically up with a velocity of $29 \mathrm{~ms}^{-1}$. A stone is dropped from it and it reaches the ground in 10 s . The height of the balloon when the stone was dropped from it is…

A wet open umbrella is held vertical and it whirld about the handle at a uniform rate of 21 revolutions in 44 s . If the rim of the umbrella is circle of 1 m in diameter and the height of the rim above the flour is 4.9…

A cyclist moving on a circular track of radius 40 m completes half a revolution in 40 s . Its average velocity is :

Two points move in the same straight line starting at the same moment from the same point in it. The first moves with constant velocity $u$ and the second with constant acceleration $f$. During the time elapses before…