High School

We appreciate your visit to Tom launches a toy rocket from a point 80 ft above the ground The height of the rocket from the ground level after tex t. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Tom launches a toy rocket from a point 80 ft above the ground. The height of the rocket from the ground level after [tex]t[/tex] seconds is defined by the function [tex]h(t) = -16t^2 + 64t + 80[/tex].

A. How long will the rocket take to hit the ground?
B. How long will it take the rocket to reach its maximum height?
C. What is the maximum height of the rocket?
D. When will the rocket reach a height of 100 ft?

Answer :

Final answer:

The answer provides step-by-step instructions on how to find the time it takes for the rocket to hit the ground, reach its maximum height, the maximum height of the rocket, and when it reaches a height of 100 ft.

Explanation:

To find the answers to the given questions:

  1. A. To find the time it takes for the rocket to hit the ground, set the height function h(t) equal to 0 and solve for t. In this case, -16t^2 + 64t + 80 = 0.
  2. B. To find the time it takes for the rocket to reach its maximum height, we need to find the vertex of the function. The x-value of the vertex can be found using the formula t = -b / 2a, where a = -16 and b = 64.
  3. C. To find the maximum height of the rocket, substitute the x-value of the vertex into the height function.
  4. D. To find when the rocket reaches a height of 100 ft, set the height function equal to 100 and solve for t.

Learn more about Rocket height and time here:

https://brainly.com/question/3069698

#SPJ11

Thanks for taking the time to read Tom launches a toy rocket from a point 80 ft above the ground The height of the rocket from the ground level after tex t. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada