SOLUTION: If a ball is thrown directly upward with a velocity of 38 ft/s, its height (in feet) after t seconds is given by y = 38t − 16t2. What is the maximum height attained by the ball?
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Question 1204161: If a ball is thrown directly upward with a velocity of 38 ft/s, its height (in feet) after t seconds is given by y = 38t − 16t2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.) Answer by ikleyn(52817) (Show Source):
The time, when the maximum height is reached, is half way between the zeroes of the parabola, t= 0 and t= .
So, = = = .
Substitute this value = into the given height formula and find maximum height.
