Question

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

• A. 4
• B. 8
• C. 6
• D. 2

Answer 1

Answer:

A. 4

Velocities $V_B = u$ and $V_A =2u$ maximum height reached by the body $H = \frac {u^2}{2g}$

$H ∝ u^2$

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