An arrow is shot in air, its time of flight is 5 sec and horizontal range is 200 m. the inclination of the arrow with the horizontal is

Options

A. `"tan"^(-1)(5)/(8)`
B. `"tan"^(-1)(8)/(5)`
C. `"tan"^(-1)(1)/(8)`
D. `45^(@)`

Answer

A

Explanation

T = 5 = `(2usin theta)/(g)`
`u sin theta = 25`
`R=(2(u sin theta)(u cos theta))/(g)=200`
`(2)/(10)(25)(u cos theta)= 200`
`u cos theta = (200 xx 10)/(50)=40`
`tan theta = (25)/(40)=(5)/(8)`
`theta = tan^(-1)(5/8)`