Question

A projectile is thrown with an initial velocity of `v = a hat i + b hat j`. If the range of projectile is double the maximum height reached by it. Find the ratio `(b)/(a)`.
A. `x = 2y`
B. `y = 2x`
C. `x = y`
D. `y - 4x`

Answer 1

Correct Answer - C
`(U^(2)sin 2 theta)/(g) = 2xx (U^(2) sin^(2) theta)/(2g)`
`2sin theta cos theta = sin^(2) theta`
`tan theta = 2`
`(y)/(x) = 2`
`y = 2x`