9. The height of a model rocket is given by the formula h(t) = -16t² + 32.53t+9 where t is time in seconds and h is the height in feet. How many seconds does it take for the rocket to hit the ground after launch? Round your answer to the nearest hundredth.
9. The height of a model rocket is given by the formula h(t) = -16t² + 32.53t+9 where t is time in seconds and h is the height in feet. How many seconds does it take for the rocket to hit the ground after launch? Round your answer to the nearest hundredth.
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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![**Problem 9: Model Rocket Height**
The height of a model rocket is given by the formula:
\[ h(t) = -16t^2 + 32.53t + 9 \]
where \( t \) is time in seconds and \( h \) is the height in feet.
**Question:**
How many seconds does it take for the rocket to hit the ground after launch? Round your answer to the nearest hundredth.
This problem involves solving a quadratic equation to find the time at which the rocket reaches a height of zero. If there are any questions about solving or interpreting the formula, please refer to the appropriate algebraic methods for quadratic equations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7a9d0ad-fec9-4f0d-b494-c459fdb0f55b%2Fa9c3feba-e7d2-4f9f-9b7d-1bba5419b7e9%2Fkc0kmlq_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 9: Model Rocket Height**
The height of a model rocket is given by the formula:
\[ h(t) = -16t^2 + 32.53t + 9 \]
where \( t \) is time in seconds and \( h \) is the height in feet.
**Question:**
How many seconds does it take for the rocket to hit the ground after launch? Round your answer to the nearest hundredth.
This problem involves solving a quadratic equation to find the time at which the rocket reaches a height of zero. If there are any questions about solving or interpreting the formula, please refer to the appropriate algebraic methods for quadratic equations.
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