An object is projected at an angle of 45° with the horizontal. The horizontal range and maximum height reached will be in the ratio :

Options

A. ` 1: 2`
B. ` 2: 1`
C. ` 1 : 4`
D. ` 4: 1 `

Answer

D

Explanation

Horizontal range , ` R = ( u^(2) sin 2 xx 45)/(g)`
` " " =(u^(2))/(g ) `
Maximum height ,h = ` (u^(2) sin ^(2) 45)/(2g)`
`" "= (u^(2))/(4g)`
` ( R )/(h) = ( 4)/(1)`