How do you find the instantaneous velocity at t=0 for

Dashawn Robbins

Dashawn Robbins

Answered question

2022-04-23

How do you find the instantaneous velocity at t=0 for the position function s(t)=6t2+8t?

Answer & Explanation

Jamison Newman

Jamison Newman

Beginner2022-04-24Added 10 answers

The position is given by the function s(t)=6t2+8t
The velocity is the rate of change of displacement over time, so it'll be the derivative of the position function, i.e.v(t)=s'(t)=12t+8
So, at t=0, the instantaneous velocity will be:
s'(0)=12*0+8
=0+8
=8

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