In ain oblique projectile motion if the velocity of projection is increased by `2%`, the percentage increase in horizontal range will be

Options

A. `1%`
B. `2%`
C. `3%`
D. `4%`

Answer

D

Explanation

`R = (u^(2))/(g)sin 2 theta, R' = (u^(2)((1 + (2)/(100))^(2)))/(g) sin 2 theta`
`(R')/(R ) = (1 + (2)/(100))^(2) = 1 + (4)/(100)`
`%` change `= ((R')/(R ) - 1) xx 100 = 4%`