For projectile on a plane inclined at angle alpha:
Set axes along and perpendicular to the incline:
- Along incline: a_x' = -g*sin(alpha) [deceleration going up]
- Perpendicular to incline: a_y' = -g*cos(alpha)
If launched at angle beta to the incline with speed u:
- u_x' = ucos(beta), u_y' = usin(beta)
- Time of flight: T = 2usin(beta)/(gcos(alpha))
- Range along incline: R = 2u^2*sin(beta)cos(alpha+beta)/(gcos^2(alpha))
- Max range when beta = (pi/4 - alpha/2), i.e., bisect angle between incline and vertical
JEE trick: Range up the incline != range down the incline for the same launch angle.