A ball is shot straight up at ground level. Its height H in feet after t sec is given by the function H(t) = 128t – 16t2.
a. Graph the function and from the graph find at what instant the ball is at its highest point. What is its height at that instant?
b. Find from the graph all t such that H(t) = H(1).
c. Use your graph to find how long it takes the ball to hit the ground.
d. What is the domain of H?
e. What is the range of H?
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