Answer:
A) t = 0.25 s
B) h = 25 m
Explanation:
Given equation:
where:
- h = height above water (in feet)
- t = time (in seconds)
- v = initial upwards velocity = 8 ft/s
- s = initial height = 24 ft
A) To find the value of t when h is at its maximum, differentiate the equation with respect to t:
Substitute given value of v:
Set to zero and solve for t:
B) Substitute the found value for t into the equation and solve for h: