Question

A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=104t-16t^2 .After how long will it reach its maximum height? Do not round your answer.

Answer 1

The height h (in feet) afer t seconds ofthe balls het)- 1o4t -16t2 9iven by upesond aund the marximum) This a poYubofa opening upcoco1d and height coill be ot the vertex cohate t- co ordinala of the ventax s-164 2a 2-6) = 3.25 104 C3.25)-. l 6 Ca. 25)"-169 and h(825) Henco, a ftor t3 25 seconds, the ball coill reach il maximum height and e maximum 169