The maximum height of the ball is at 18.0625 feet which occurs at 0.9375 s
An equation is an expression that shows the relationship between two or more variables and numbers.
Let h represent the height of the ball after t seconds, hence:
h(t) = 4 + 30t - 16t²
The maximum height is at h'(t) = 0, hence:
h'(t) = 30 - 32t
-32t + 30 = 0
t = 0.9375 s
h(0.9375) = 4 + 30(0.9375) - 16(0.9375)² = 18.0625 feet
The maximum height of the ball is at 18.0625 feet which occurs at 0.9375 s
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