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

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

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 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 =…

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 bullet comes out of the barrel of gun of length 2 m with a speed $80 \mathrm{~m} / \mathrm{s}$. The average acceleration of the bullet is

A body is coming with a velocity of $72 \mathrm{~km} / \mathrm{h}$ on a rough horizontal surface of coefficient of friction 0.5 . If the acceleration due to gravity is $10 \mathrm{~m} / \mathrm{s}^2$, find the minimum…

A point initially at rest moves along $x$-axis. Its acceleration varies with time as $a=(6 t+5)$ in $\mathrm{m} / \mathrm{s}^2$. If it starts from origin, the distance covered in 2 s is :

A body starts from the origin and moves along the $x$-axis such that velocity at any instant is given by $\left(4 t^3-2 t\right)$, where $t$ is in second and velocity is in $\mathrm{m} / \mathrm{s}$. What is the…