Belisario G. answered 10/26/20
Effective, Motivated and results proven Mechanical Engineering Tutor
Given:
Height of the rocket as a function of time
h(t) = -8t^2 +288t + 40
Find:
a) time for it to reach max height
b) max height
Solution:
a)
The rocket reaches maximum height when the velocity is zero
To find the velocity function we take the derivative of the height function
V(t) = -16t+288
We now set the function equal to zero
0 = -16t+288
t = 18 seconds
Maximum velocity is achieved at this time
b) What is the maximum height ?
Using the time from part (a)
We plug this time into our height function
h(18) = -8 * (18)^2 + 288 * (18) + 40
h(18) = 2632 ft