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

Gunsaz

Answered question

2022-10-03

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.

Answer & Explanation

Lamar Esparza

Lamar Esparza

Beginner2022-10-04Added 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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