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Algebra
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The height of a tennis ball is modeled by the equation h(t)=-9.8tsquared+4t+1 where h is the height of the ball in meters and t is the time in seconds, find the maximum height of the ball. 

Apr 28th, 2015

The height of the tennis ball h(t) = –9.8t2 + 4t + 1 is a quadratic function of time. Since its leading coefficient 

a = –9.8 is negative, the function has a maximum at t0 = – 4/(2(–9.8)) = 0.203 s and equals h(t0) = –9.8 t02 + 4 t0+ 1 = –9.8 ·0.2032 + 4·0.203+ 1 = 1.4 m.


Apr 27th, 2015

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Apr 28th, 2015
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