Height of a projectile. A stone is thrown directly upward from a height of 30 ft with an initial velocity of 60 ft/sec . Theheight of the stone, in feet, t seconds after it has been thrown is given by the function s(t) = - 16t^2 + 60t + 30. Determine the time at which the stone reaches its maximum height and find the maximum height.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 51E: Height of a Ball If a ball is thrown directly upward with a velocity of 40 ft/s, its height (in...
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13. Height of a projectile. A stone is thrown directly upward from a height of 30 ft with an initial velocity of 60 ft/sec . Theheight of the stone, in feet, t seconds after it has been thrown is given by the function s(t) = - 16t^2 + 60t + 30.

Determine the time at which the stone reaches its maximum height and find the maximum height.

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