Answer: 245 feet
Step-by-step explanation:
Given: The height of the rocket after t seconds is represented by the formula:

[Differentiate both sides w.r.t. t]
Put

Also,
i.e. height is maximum at t=7.
Maximum height = 
Hence, the maximum height the rocket reaches = 245 feet.
Slope formula:
y2 - y1
_____
x2 - x1
5 + 16
_____
18 + 8
21
__
26
slope is 21/26
Subtract 9 from both sides. Then you have -14=c/4. Multiply the number by 4. You now have -56=c. :)