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.

College Algebra
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ISBN:9781337282291
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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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