Question

A particle is projected vertically upwards from a point A on the ground. It takes a time t₁ to reach a point B at a height h above the ground as it continues to move, it takes a further time t₂ to reach the ground. 

Find (i) The height h 

(ii) The maximum height reached 

(iii) The velocity of the particle at half the maximum height.

Answer 1

(i) Find the initial velocity u in terms of t₁ and t₂ . Use the equations of motion with uniform acceleration. The acceleration due to gravity is taken with a negative sign.

Let u be initial velocity. 

Total time of flight from A to B and from B