Answer:
The maximum height of the watermelon is 74 feet.
Step-by-step explanation:
The watermelon reaches its maximum height when its velocity is zero. Mathematically speaking, velocity is the first derivative of the function height, that is:
(1)
Where is the velocity, in feet per second.
If we know that and
, then the time associated with maximum height is:
(2)
Now we evaluate the function height at time found in the previous step: ()
The maximum height of the watermelon is 74 feet.