Question

h = -5t2 + 30t + 10
a) What is the Rocket's maximum height?

Answer 1

Answer:

The maximum height is 55

Step-by-step explanation:

Step 1:  Find the derivative with respect to t

$-5t^2 + 30t + 10$

$-5*2t + 30$

$-10t+30$

Step 2:  Solve for t

$-10t + 30 - 30 = 0 - 30$

$-10t / -10 = -30 / -10$

$t = 3$

Step 3:  Plug in 3 for t in the original equation

$h = -5(3)^2 + 30(3) + 10$

$h = -5(9) + 90 + 10$

$h = -45+90+10$

$h = 45 + 10$

$h = 55$

Answer:  The maximum height is 55