74. MOTION OF A MODEL ROCKET A model rocket is launched vertically upward so that its height (measured in feet) t sec after launch is given by h = 16t² + 384t + 4 a. Find the time(s) when the rocket is at a height of 1284 ft. b. How long is the rocket in flight?

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**74. Motion of a Model Rocket**

A model rocket is launched vertically upward so that its height (measured in feet) \( t \) seconds after launch is given by:

\[ h = -16t^2 + 384t + 4 \]

**a.** Find the time(s) when the rocket is at a height of 1284 ft.

**b.** How long is the rocket in flight?
Transcribed Image Text:**74. Motion of a Model Rocket** A model rocket is launched vertically upward so that its height (measured in feet) \( t \) seconds after launch is given by: \[ h = -16t^2 + 384t + 4 \] **a.** Find the time(s) when the rocket is at a height of 1284 ft. **b.** How long is the rocket in flight?
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