Projectile Motion An object is propelled upward at an

Chapter 7, Problem 115

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Projectile Motion An object is propelled upward at an angle , to the horizontal with an initial velocity of feet per second from the base of a plane thatmakes 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 is given by the function R1u2 = v0 222 32 3sin12u2 - cos12u2 - 14 (a) Find the distance R that the object travels along theinclined plane if the initial velocity is 32 feet per secondand .(b) Graph if the initial velocity is 32 feet persecond.(c) What value of u makes R largest? R = R1u2 u = 60

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