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An object Is propelled upward at an angle θ, 45° < θ<90°, to the horizontal with an initial velocity of (Vo) feet per second from the base of a plane that makes an angle of 45° with the horizontal. If air resistance is ignored, the distance R it travels up the inclined plane is given by

R = Vo^2√2
------------------ cos θ (sin θ – cos θ)

Show that

R = Vo^2√2
------------------ (sin 2θ – cos 2θ - 1)

Graph R= R(θ).
What value of θ makes R the largest? (assume Vo= 32 ft/sec.)

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