2. Mrs. Galicia dropped a ball from the top of a tower. At the same time, her son, Antonio, launches a rocket from a different level of the tower. The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t) = -t² - 2t + 36. The height of Antonio's rocket after t seconds can be represented by the linear function: p(t) = -2t + 20. (a) What are the two solutions to this system? Show your work. (b) Explain which solution is not reasonable in this situation. (c) After how many seconds do the rocket and the ball reach the same height.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...
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2. Mrs. Galicia dropped a ball from the top of a tower. At the same time, her son, Antonio, launches a rocket from
a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t) = -t? -
2t + 36.
The height of Antonio's rocket after t seconds can be represented by the linear function: p(t) = -2t + 20.
(a) What are the two solutions to this system? Show your work.
(b) Explain which solution is not reasonable in this situation.
(c) After how many seconds do the rocket and the ball reach the same height.
Transcribed Image Text:2. Mrs. Galicia dropped a ball from the top of a tower. At the same time, her son, Antonio, launches a rocket from a different level of the tower. The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t) = -t? - 2t + 36. The height of Antonio's rocket after t seconds can be represented by the linear function: p(t) = -2t + 20. (a) What are the two solutions to this system? Show your work. (b) Explain which solution is not reasonable in this situation. (c) After how many seconds do the rocket and the ball reach the same height.
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