2. A toy rocket is launched from a table 2 feet above the ground. The height of the rocket above the ground (in feet) is given by the equation h(t) = –16t2 + vt + 2, where v is the launch velocity. (a) If the rocket reached its maximum height of 38 feet above the ground at time t = 1.5 seconds, what was the launch velocity? (b) Write a function equation for h(t). (c) How long was this rocket in the air?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
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2. A toy rocket is launched from a table 2 feet above the ground. The height of the rocket above the ground
(in feet) is given by the equation h(t) = - 16t2 + vt + 2, where v is the launch velocity.
(a) If the rocket reached its maximum height of 38 feet above the ground at time t = 1.5 seconds, what
was the launch velocity?
(b) Write a function equation for h(t).
(c) How long was this rocket in the air?
Transcribed Image Text:2. A toy rocket is launched from a table 2 feet above the ground. The height of the rocket above the ground (in feet) is given by the equation h(t) = - 16t2 + vt + 2, where v is the launch velocity. (a) If the rocket reached its maximum height of 38 feet above the ground at time t = 1.5 seconds, what was the launch velocity? (b) Write a function equation for h(t). (c) How long was this rocket in the air?
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