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The First Derivative Test
6. Graphical Applications of Derivatives / The First Derivative Test / Problem 4
Problem 4

A ball is thrown vertically upward from the ground. The height of the ball, in meters, tt seconds after it has been thrown, is given by y=10gt2+uty=-10gt^2+ut. Given that g=10 m/s2g=10\text{ m/s}^2 and u=50 m/su=50\text{ m/s}, calculate the maximum height reached by the ball.

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