At time t, a projectile launched with angle of elevation and initial velocity v0 has

Chapter 4, Problem 50

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At time t, a projectile launched with angle of elevation and initial velocity v0 has position x(t)=(v0 cos )tand y(t)=(v0 sin )t 12 gt2, where g is the accelerationdue to gravity.(a) A football player kicks a ball at an angle of 36above the ground with an initial velocity of 60 feetper second. Write the parametric equations for theposition of the football at time t seconds. Use g =32 ft/sec2.(b) Graph the path that the football follows.(c) How long does it take for the football to hit theground? How far is it from the spot where the footballplayer kicked it?(d) What is the maximum height the football reachesduring its flight?(e) At what speed is the football traveling 1 second afterit was kicked?

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