Motion

From a tower of height $H$ ，a particle is thrown vertically upwards with a speed $u$ ．The time taken by the particle to hit the ground is $n$ times that taken by it to reach the highest point of its path．The relation between $H, u$ and $n$ ...

Which of the velocity-time $(v-t)$ graph(s) can possibly represent one-dimensional motion of a particle?

Acceleration-time $(a-t)$ graph of a body is shown in the figurd. Corresponding velocity-time $(v-t)$ graph is

Ruma reached the metro station and found that the escalator was not working. She walked up the stationary escalator with velocity $v_1$ in time $t_1$. On other day if she remains stationary on the escalator moving with velocity $v_2$, then ...

The acceleration-time graph of a particle moving in a straight line is shown in the figure. If the initial velocity of the particle is zero then the velocity-time graph of the particle will be

In case of projectile motion, which one of the following figures represent variation of horizontal component of velocity (ux) with time t? (Assume that air resistance is negligible)

The acceleration versus distance graph for a particle moving with initial velocity 5 m/s is shown in the figure. The velocity of the particle at x = 35 m will be

A fighter plane, flying horizontally with a speed 360 km/h at an altitude of 500 m drops a bomb for a target straight ahead of it on the ground. The bomb should be dropped at what approximate distance ahead of the target? Assume that accele...

Two particles are simultaneously projected in the horizontal direction from a point P at a certain height. The initial velocities of the particles are oppositely directed to each other and have magnitude v each. The separation between the p...

A projectile thrown with an initial velocity of 10 ms\(-\)1 at an angle \(\alpha\) with the horizontal, has a range of 5 m. Taking g = 10 ms\(-\)2 and neglecting air resistance, what will be the estimated value of \(\alpha\)?

At a particular height, the velocity of an ascending body is u. The velocity at the same height while the body falls freely is

A train moves from rest with acceleration \(\alpha\) and in time t1 covers a distance x. It then decelerates to rest at constant retardation \(\beta\) for distance y in time t2. Then,

The distance travelled by an object along a straight line in time t is given by \(s = 3 - 4t + 5{t^2}\), the initial velocity of the object is