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The velocity, in feet per second, of a rocket t sec into vertical flight is given by v(t) = –3t² + 192t Find an expression h(t) that gives the rocket's altitude, in feet, t sec after liftoff. What is the altitude of the rocket 30 sec after liftoff? {Hint: h'(t) = v(t);h(0) = 0} 5.

The velocity, in feet per second, of a rocket t sec into vertical flight is given by v(t) = –3t² + 192t Find an expression h(t) that gives the rocket's altitude, in feet, t sec after liftoff. What is the altitude of the rocket 30 sec after liftoff? {Hint: h'(t) = v(t);h(0) = 0} 5.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The velocity, in feet per second, of a rocket t sec into vertical flight is given by v(t) = –3t2 + 192t Find an expression h(t) that gives the rocket's altitude, in feet, t sec after liftoff. What is the altitude of the rocket 30 sec after liftoff? {Hint: h'(t) = v(t);h(0) = 0} %3D 5.
Transcribed Image Text:The velocity, in feet per second, of a rocket t sec into vertical flight is given by v(t) = –3t2 + 192t Find an expression h(t) that gives the rocket's altitude, in feet, t sec after liftoff. What is the altitude of the rocket 30 sec after liftoff? {Hint: h'(t) = v(t);h(0) = 0} %3D 5.
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