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How do you find the instantaneous velocity at #t=0# for the position function #s(t) = 6t^2 +8t#?

1 Answer

Apr 29, 2018

#8#

Explanation:

The position is given by the function #s(t)=6t^2+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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