A body has maximum range R_(1) when projected up the inclined plane. The same body when projected down, the inclined plane. It has maximum range R_(2). Find its maximum horizontal range. Assume the equal speed of projection in each case and the body is projected onto the gretest slope.

A body has maximum range R_(1) when projected up the inclined plane. T

1.	A body has maximum range R_(1) when projected up the inclined plane. The same body when projected down, the inclined plane. It has maximum range R_(2). Find its maximum horizontal range. Assume the equal speed of projection in each case and the body is projected onto the gretest slope.
Answer» `R=(2R_(1)R_(2))/(R_(1)-R_(2))` `R=(2R_(1)R_(2))/(R_(1)+R_(2)` `R=(R_(1)R_(2))/(R_(1)-R_(2))` `R=(4R_(1)R_(2))/(R_(1)+R_(2))` Solution :For upward projecton, `R_("MAX")=(V_(0)^(2))/(g(1-sinbeta))=R_(1)` .............(i) For downward PROJECTION `R_("MIN")=(v_(0)^(2))/(g(1+sin beta))=R_(2)` ..........(ii)