The height h, in feet, c = 2561-16². As th when it reaches 200 ft deploy?

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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**Transcription for Educational Website:**

The height \( h \), in feet, of a model rocket \( t \) seconds after launch is given by the equation:

\[ h = 256t - 16t^2 \]

As the rocket descends, it deploys a recovery parachute when it reaches 200 feet above the ground. At what time does the parachute deploy? 

**Description:**

This equation represents the motion of a model rocket. The quadratic equation accounts for the initial ascent influenced by the thrust and the eventual descent due to gravity. Solving for \( t \) when \( h = 200 \) will determine the time at which the parachute is deployed during the rocket's descent.
Transcribed Image Text:**Transcription for Educational Website:** The height \( h \), in feet, of a model rocket \( t \) seconds after launch is given by the equation: \[ h = 256t - 16t^2 \] As the rocket descends, it deploys a recovery parachute when it reaches 200 feet above the ground. At what time does the parachute deploy? **Description:** This equation represents the motion of a model rocket. The quadratic equation accounts for the initial ascent influenced by the thrust and the eventual descent due to gravity. Solving for \( t \) when \( h = 200 \) will determine the time at which the parachute is deployed during the rocket's descent.
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