Question 19, 3.6.76
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You throw a ball straight up from a rooftop 20 feet high with an initial speed of 96 feet per second. The function \( s(t)=-16 t^{2}+96 t+20 \) models the ball's height above the ground, \( s(t) \), in feet, \( t \) seconds after it was thrown. During which time period will the ball's height exceed that of the rooftop?
When will the ball exceed the height of the rooftop?
Between 0 and 6 seconds, including \( \mathrm{t}=0 \) and \( \mathrm{t}=6 \).
Between 0 and 5 seconds, including \( t=0 \) and \( t=5 \).
Between 0 and 5 seconds, excluding \( \mathrm{t}=0 \) and \( \mathrm{t}=5 \).
Between 0 and 6 seconds, excluding \( t=0 \) and \( t=6 \).
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