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

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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