The object represented by h(t) = -4.9t² + 40t + 20 would take 4.082 seconds to reach it's maximum height.
An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
The height (h) is represented by:
h(t) = -4.9t² + 40t + 20
The maximum height is at h'(t) = 0, hence:
h'(t) = -9,8t + 40
-9.8t + 40 = 0
t = 4.082
The object represented by h(t) = -4.9t² + 40t + 20 would take 4.082 seconds to reach it's maximum height.
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