Q: In the absence of wind the range and maximum height of a projectile were R and H. If wind imparts of horizontal acceleration a = g/4 to the projectile then find the maximum range and maximum height.

Sol. H’ = H (since , u sinθ remain same )

T’ = T

$\large R’ = u_x T + \frac{1}{2} a T^2$

$\large R’ = R + \frac{1}{2} (\frac{g}{4}) T^2$

$\large R’ = R + \frac{1}{2} g T^2$

R’ = R + H (since H’ =H)