Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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 in meters of their rocket seconds after launch.

Sagot :

Answer:

30m

Step-by-step explanation:

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

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

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.