2) No Calculator – Open Response Jason launched a model rocket from the ground. The formula below can be used to determine the height of the rocket above the ground at any time during the rocket's flight. h = 16t(7 - t) In the formula, h and t are defined as follows: t = the time, in seconds, that has elapsed since the rocket was launched h = the height, in feet, of the rocket above the ground at time t %3D Use the formula to answer the following questions. a. What was the height, in feet, of the rocket 1 second after it was launched? Show b. What was the height, in feet, of the rocket 6 seconds after it was launched? Show c. The value of h was o when the rocket hit the ground. How many seconds after the rocket was launched did it hit the ground? Show your work. d. How many seconds after the rocket was launched was the height of the rocket 160 feet? Show your work. work. work. your your

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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A person launched a model rocket from the ground. The formula below can be used to determine the height of the rocket above the ground at any time during the rocket’s flight.

\[ h = 416t - 16t^2 \]

In the formula, \( h \) and \( t \) are defined as follows:

- \( h \) = the height, in feet, of the rocket above the ground at time \( t \)
- \( t \) = the time, in seconds, that has elapsed since the rocket was launched

Use the formula to answer the following questions:

a. What was the height, in feet, of the rocket 1 second after it was launched? Show your work.
b. What was the height, in feet, of the rocket 2 seconds after it was launched? Show your work.
c. The value of \( t \) at which the rocket hit the ground. How many seconds after the rocket was launched did it hit the ground? Show your work.
d. How many seconds after the rocket was launched was the height of the rocket 160 feet? Show your work.
Transcribed Image Text:### No Calculator - Open Response A person launched a model rocket from the ground. The formula below can be used to determine the height of the rocket above the ground at any time during the rocket’s flight. \[ h = 416t - 16t^2 \] In the formula, \( h \) and \( t \) are defined as follows: - \( h \) = the height, in feet, of the rocket above the ground at time \( t \) - \( t \) = the time, in seconds, that has elapsed since the rocket was launched Use the formula to answer the following questions: a. What was the height, in feet, of the rocket 1 second after it was launched? Show your work. b. What was the height, in feet, of the rocket 2 seconds after it was launched? Show your work. c. The value of \( t \) at which the rocket hit the ground. How many seconds after the rocket was launched did it hit the ground? Show your work. d. How many seconds after the rocket was launched was the height of the rocket 160 feet? Show your work.
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