Two bodies A and, B are projected upwards such that the velocity of A is double the velocity of B. Then, the ratio of heights to which body A and body B will rise is

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Question

This question was previously asked in

HPCL Engineer Mechanical 12 Aug 2021 Official Paper (Shift 2)

Answer 1

Concept :

Maximum height: it the maximum height from point of projection that the projectile can reach.

Let, V_A = Velocity of body A

V_B = Velocity of the ball B

Given VB = u and VA = 2u

The maximum height reached by a body is given by, \(H = \frac{u^2}{2g}\)

Or H ∝ u²

^{\(\frac{H_A}{H_B}=(\frac{u_A}{u_B})^2=(\frac{2u}{u})^2=4:1\)}