The position of a particle as it moves along a straight line is given by s(t)=(t^2-5)(3t+4). Find the velocity of the particle as a function of time.

Gunsaz 2022-10-03 Answered
The position of a particle as it moves along a straight line is given by s ( t ) = ( t 2 5 ) ( 3 t + 4 ) Find the velocity of the particle as a function of time.
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Answers (1)

Lamar Esparza
Answered 2022-10-04 Author has 8 answers
Given s ( t ) = ( t 2 5 ) ( 3 t + 4 ) d s d t = v v ( t ) = d d t ( t 2 5 ) ( 3 t + 4 ) + ( t 2 5 ) d d t ( 3 t + 4 ) = ( 2 t 0 ) ( 3 t + 4 ) + ( t 2 5 ) ( 3 ) = 6 t 2 + 8 t + 3 t 2 15 v ( t ) = 9 t 2 + 8 t 15
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