A kid launches a bottle rocket off of a launch pad. The rocket's height above the ground (in feet) t seconds after its launch is given by the function, h(t) = -t^(2) + 16t + 4= -(t-8)^(2) +68= -(t-(8+2 \sqrt(17))) (t+(8+2\sqrt(17)) At what time does the rocket reach its maximum height? what is the height of the launch pad that the rocket was launched from?  How long does it take unitl the rocket land on the ground?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A kid launches a bottle rocket off of a launch pad. The rocket's height above the ground (in feet) t seconds after its launch is given by the function,

h(t) = -t^(2) + 16t + 4= -(t-8)^(2) +68= -(t-(8+2 \sqrt(17))) (t+(8+2\sqrt(17))

At what time does the rocket reach its maximum height?

what is the height of the launch pad that the rocket was launched from? 

How long does it take unitl the rocket land on the ground?

Expert Solution
Step 1

Given, h(t)=-t2+16t+4

SInce, we know that the quadratic equation of the form y=ax2+bx+c represents a parabola with vertex at -b2a, -D4a, where D is the discriminant.

 

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