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During a fireworks display, a starburst rocket is shot upward with an initial velocity of 34.5 m/s from a platform 3.2 m high. The height, h, in meters, of the rocket after t seconds can be modelled by the function h(t) = −4.9t² + 34.5t + 3.2. a. Determine the velocity and acceleration of the rocket at 3 s. b. When the rocket reaches its maximum height, it explodes to create a starburst display. How long does it take for the rocket to reach its maximum height? C. At what height does the starburst display occur?

During a fireworks display, a starburst rocket is shot upward with an initial velocity of 34.5 m/s from a platform 3.2 m high. The height, h, in meters, of the rocket after t seconds can be modelled by the function h(t) = −4.9t² + 34.5t + 3.2. a. Determine the velocity and acceleration of the rocket at 3 s. b. When the rocket reaches its maximum height, it explodes to create a starburst display. How long does it take for the rocket to reach its maximum height? C. At what height does the starburst display occur?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
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During a fireworks display, a starburst rocket is shot upward with an initial velocity of 34.5 m/s from a platform 3.2 m high. The height, h, in meters, of the rocket after t seconds can be modelled by the function h(t) = −4.9t² + 34.5t + 3.2. a. Determine the velocity and acceleration of the rocket at 3 s. b. When the rocket reaches its maximum height, it explodes to create a starburst display. How long does it take for the rocket to reach its maximum height? C. At what height does the starburst display occur? d. Sometimes the rockets malfunction and do not explode. How long would it take for an unexploded rocket to return to the ground? e. At what velocity would it hit the ground?
Transcribed Image Text:During a fireworks display, a starburst rocket is shot upward with an initial velocity of 34.5 m/s from a platform 3.2 m high. The height, h, in meters, of the rocket after t seconds can be modelled by the function h(t) = −4.9t² + 34.5t + 3.2. a. Determine the velocity and acceleration of the rocket at 3 s. b. When the rocket reaches its maximum height, it explodes to create a starburst display. How long does it take for the rocket to reach its maximum height? C. At what height does the starburst display occur? d. Sometimes the rockets malfunction and do not explode. How long would it take for an unexploded rocket to return to the ground? e. At what velocity would it hit the ground?
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