A foot - ball player hits tha ball with speed `20ms^(-1)` with angle `30^(@)` with respect to horizontal direction as shown in the figure. The goal post is at distance of 40 m from him. Find out whether ball reaches the goal post

Explanation

Given: `u = 20 m//s`
`theta = 30^(@)`
Formula : `R = (u^(2) sin 2 theta)//g`
`R = ((20)^(2)sin 2 (30))/(9 . 8)`
`= (400xx sqrt(3))/(2 xx 9 . 8)= (400 xx 1.732)/(19.6)`
R = 35 . 34 m
In the problem it is given that R = 40 m and the found value less than 40 m . Therefore ball cannot reach the goal post .