A ball is shot out of a cannon at ground level. Its height H in feet after t sec is given by the function H(t)=144t- 16t². Complete parts (a) through (c) below. a. Find H(3), H(6), H(4), and H(5). Why are some of the outputs equal? feet feet H(4)= feet H(5)= feet Why are some of the outputs equal? H(3)= H(6)= O A. Because the ball is shot downward, then falls to the ground. O B. Because the ball rolls back to its original position. O C. Because the ball is shot upward, then falls to the ground. O D. Because the ball bounces several times. b. How long does it take for the ball to hit the ground? It takes sec for the ball to hit the ground. c. What is the domain of H? The domain of H is. (Type an inequality or a compound inequality.)

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