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4. Applications of Derivatives
4. Applications of Derivatives / Motion Analysis / Problem 2
Problem 2

A basketball is shot upwards from the ground with an initial velocity of 40 ft/s40\text{ ft/s}. The height (in feet) of the basketball tt seconds after it is shot is given by the equation h(t)=16t2+40th(t) = -16t^2 + 40t. What is the maximum height reached by the basketball?

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