A particle is projected vertically upwards. Prove that it will be at three-fourth of its greatest height at times which are in the ratio `1: 3`.

A particle is projected vertically upwards in vacuum with a speed u .

A particle is projected vertically upward from the ground at time t = 0 and reaches a height h at t = T . Show that the greater height of the particle is (g T^(2) + 2h)^(2)//8 gT^(2)

A particle is projected vertically upwards from ground. Which of the following plots best describe the momentum vs height from the ground?

A particle is projected vertically upwards from ground with velocity 10 m // s. Find the time taken by it to reach at the highest point ?

A particle is projected vertically upward with velocity u from a point A , when it returns to the point of projection .

A particle is projected vertically upwards from a point O on the ground. It takes time t_(1) to reach a point A at a height h above the ground, it continues to move and takes a time t_(2) to reach the ground. Find (a) h, (b) the maximum height reached and (c ) the velocity of the partical at the half of maximum height.

A particle is projected vertically upwards from an elevated point. Magnitude of the velocity at height h above the starting point is found to be half of the magnitude of velocity at h height below the starting point. If maximum height reached by the particle above its initial point is mh/n then find (m-n).

A particle is projected vertically upwards and it reaches the maximum height H in time T seconds. The height of the particle at any time t will be-

A particle is projected vertically upwards and reaches the maximum height H in time T. The height of the partlcle at any time t (lt T) will be