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AlladinOne [14]
3 years ago
13

Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3 where h(t) is the height i

n meters of their rocket seconds after launch.
Mathematics
1 answer:
kumpel [21]3 years ago
8 0

Answer:

30m

Step-by-step explanation:

<em>Since we are not told what to look for, we can find the maximum height reached by the rocket</em>

Given the rocket's flight approximately modeled by the equation

h(t) = - 12t ^ 2 + 36t + 3

At maximum height dh/dt = 0

dh/dt =  --24t + 36

0 = -24t + 36

24t = 36

t= 36/24

t = 1.5s

Get the max height

h(1.5) =  - 12 (1.5)^ 2 + 36(1.5) + 3

h(1.5) = - 12(2.25) + 54 + 3  

h(1.5) = -27 + 57

h(1.5) = 30m

Hence the maximum height reached by the rocket is 30m

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