Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to the initial horizontal velocity component, highest first.
.

Options

A. 1,2,3,4
B. 2,3,4,1
C. 3,4,1,2
D. 4,3,2,1

Answer

D

Explanation

`R = (u^(2) sin 2theta)/g =(2u_(x)v_(y))/g`
Given that, H max is same for all balls.
`u_x` is same for all balls.
`therefore` Range a horizontal initial velocity `(u_x)`
In path .4. the range is maximum and in path .1. range is minimum. hence, the horizontal initial velocity is most in .case 4. and least in .case 1..