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A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a function of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to reach its highest point? A)1.75 seconds B)2.50 seconds C)2.75 seconds D)3.50 seconds
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\[v(t)=-32t+56=0\]because at max height the velocity will be zero. Thus,\[t=\frac{56}{32}=1.75 \]
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