The maximum height is 64 feet and it occurs at 2 seconds.
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables. There are different types of polynomials such as linear, quadratic, cubic, etc.
A quadratic equation is of degree two and it has only two solution.
Given that s= -16t²+64t
The maximum height is at ds/dt = 0
Hence:
ds/dt = -32t + 64
-32t + 64 = 0
32t = 64
t = 2 seconds
The maximum height is at 2 seconds, hence:
Maximum height = -16(2)² + 64(2) = 64 feet
The maximum height is 64 feet and it occurs at 2 seconds.
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