A group of researchers launched a rocket from the ground level with starting velocity of 160 ft. After how many seconds of flight will the rocket have an altitude of 96 ft? us ethe vertical motion formula h=-16t² + vt +s where h is the altitude, v is the velocity, so because the rocket is launched from the ground and t is the time. Solution

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 19CYU
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A group of researchers launched a rocket from the ground level with starting velocity of 160 ft. After how many
seconds of flight will the rocket have an altitude of 96 ft? us ethe vertical motion formula
h=-16t² + vt +s where h is the altitude, v is the velocity, so because the rocket is launched from the ground
and t is the time.
Solution.
Given:
h=-16t+ vt +S
2
V = 160 ft²
h = 96 ft
S=0
t=?
(1) By substitution
96= − 16t² + 160t +0
(2) Write the equation in standard form
16t² – 160t +96=0
(3) Solve using any method (best choice is by using the quadratic formula)
Transcribed Image Text:A group of researchers launched a rocket from the ground level with starting velocity of 160 ft. After how many seconds of flight will the rocket have an altitude of 96 ft? us ethe vertical motion formula h=-16t² + vt +s where h is the altitude, v is the velocity, so because the rocket is launched from the ground and t is the time. Solution. Given: h=-16t+ vt +S 2 V = 160 ft² h = 96 ft S=0 t=? (1) By substitution 96= − 16t² + 160t +0 (2) Write the equation in standard form 16t² – 160t +96=0 (3) Solve using any method (best choice is by using the quadratic formula)
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