Question 1116036
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The ball will complete its movement vertically up when its vertical velocity becomes equal to zero:


v(t) = -32*t + 70 = 0.


It implies  t = {{{70/32}}} = {{{35/16}}} = {{{2}}}{{{3/15}}} seconds = 2.1875 seconds.


To get the maximum height, you need EITHER integrate the formula for velocity over time, OR know and use the classic formula for it


h(t) = -16*t^2 + 70t + 3


where 3 = 3 ft = initial height of the ball.


This formula goes from Physics or from Algebra course.


Substitute t = 2.1875 into the formula and get your answer.
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