The maximum height of the object is 15.4 m and occurs at 0.295 sec. The object touches ground at 2.06 seconds
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
A ball is thrown upward from the top of a building 15 meters high, at a velocity of 2.8m/sec. Hence:
s = -4.9t² + 2.8t + 15
The maximum height is at s'(t) = 0, hence:
-9.8t + 2.8 = 0
t = 0.295 s
s = -4.9(0.295)² + 2.8(0.295) + 15 = 15.4 m
The object reaches ground when s = 0, hence:
0 = -4.9t² + 2.8t + 15
t = 2.06 seconds
The maximum height of the object is 15.4 m and occurs at 0.295 sec. The object touches ground at 2.06 seconds
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