A toy rocket is lauched from the top of a building 120 feet tall at an initial velocity of 200 ft/sec. The position at time t is given by s(t) = -16t2+v0t+s0 and the velocity at time t is given by v(t) = -32t+v0 where v0 is the initial velocity and s0 is the initial height. a) give the function that describes the height of the rocket in terms of time t. b) determine the time at which the rocket reaches its maximum height, and the maximum height in feet. c) for what time interval will the rocket be more than 400 feet above ground

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
Problem 59HP
Question

A toy rocket is lauched from the top of a building 120 feet tall at an initial velocity of 200 ft/sec. The position at time t is given by s(t) = -16t2+v0t+s0 and the velocity at time t is given by v(t) = -32t+v0 where v0 is the initial velocity and s0 is the initial height.

a) give the function that describes the height of the rocket in terms of time t.

b) determine the time at which the rocket reaches its maximum height, and the maximum height in feet.

c) for what time interval will the rocket be more than 400 feet above ground

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