A stone when thrown with a velocity of 5 m/s attains a maximum height of `H_1` and when thrown with a velocity of 10 m/s attains a maximum height of H. Find the correct relation between `H_1` and `H_2`

Options

A. `H_1 = H_2`
B. `H_1 = H_2//3`
C. `H_1 = 2H_1`
D. `H_1 = H_2//4`

Answer

D

Explanation

`H_("max") = u^2//2g`
So, `H_1 = (5 xx 5)/(2g) = 25/20`
`H_2 = (10 xx 10)/(2g) = 100/(2g) = 25/20 xx 4`
`implies H_2 = 4H_1`
`implies H_1 = H_2//4`