The equations y = (- 16t - 2)(t - 1) and y = - 16t ^ 2 + 14t + 2 represent the height in feet of a beach ball thrown by a child as a function of time, tin seconds .

0.4375secs

Step-by-step explanation:

Given the height of the beach ball in feet expressed as;

y = -16t^2+14t+2 as the height that represents the height of the ball, we can look for the time taken by the ball to reach its maximum height

At the max height, the velocity is zero i.e dt/dt  = 0

dy/dt = -32t + 14

0 = -32t + 14

32t = 14

t = 14/32

t = 0.4375secs

Hence it took the ball 0.4375secs to reach its maximum height

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step-by-step explanation:

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