If the function is h(t) = - 4.9t² + 39.2t + 5. Then the maximum height will be 83.4 meters.
What is differentiation?
The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
The function is given as
h(t) = - 4.9t² + 39.2t + 5
Then the differentiation of the function will be
h'(t) = - 9.8t + 39.2
For the maximum height, put h'(t) equals zero. Then we have
h'(t) = 0
- 9.8t + 39.2 = 0
t = 4
Then the maximum height will be
h(t) = - 4.9(4)² + 39.2 x 4 + 5
h(t) = - 4.9 x 16 + 39.2 x 4 + 5
h(t) = - 78.4 + 156.8 + 5
h(t) = 83.4 meters
More about the differentiation link is given below.
https://brainly.com/question/24062595
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