If `y=x-x^(2)` is the of the path of a projectile, then which of the following is incorrect:

Options

A. Range `= 1m`
B. Maximum height `= 0.25 m`
C. Time of flight `= 0.5 m`
D. Angle of projection `= 45^(@)`

Answer

A, B, D

Explanation

`y = x tan theta - (gx^(2))/(2u^(2) cos^(2) theta) = x tan theta [1 - (x)/(R )]`
`y = x - x^(2) = x [1 - x]`
`tan theta = 1 rArr theta = 45^(@)`
`(g)/(2u^(2) cos^(2) theta) = 1, R = 1 m`
`u = sqrt((g)/(2 ((1)/(sqrt2))^(2))) rArr u = sqrtg`
`H_("max") = ((u sin theta)^(2))/(2g) = (sqrt(g)(1)/(2))^(2)/(2g)`
`H_("max") = (g)/(2 xx 2g) = (1)/(4) m`
`T = (2 u sin theta)/(g) = 2 xx sqrtg xx (1)/(sqrt2 xx g) = sqrt((2)/(g)`