An object is propelled upward at an angle , 45 < < 90, to the horizontal with an initial velocity of 0 feet

An object is propelled upward at an angle θ, 45° < θ < 90°, to the horizontal with an initial velocity of υ₀ feet per second from the base of an inclined plane that makes an angle of 45° with the horizontal. See the illustration. If air resistance is ignored, the distance R that it travels up the inclined plane as a function of θ is given by

(a) Find the distance R that the object travels along the inclined plane if the initial velocity is 32 feet per second and θ = 60°.

(b) Graph R = R(θ) if the initial velocity is 32 feet per second.

(c) What value of θ makes R largest?

V3V2, R(0) [sin(20) cos(20) 1] 32 -45