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The position of an object at time t is given by s(t) = 3 - 4t. Find the instantaneous velocity at t = 8 by finding the derivative.

Respuesta :

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s' (t)=0-4


s' (t)=-4

t=8


s' (8)=-4

Answer:

[tex]s'(8)=-4[/tex]

Step-by-step explanation:

The position of an object at time t is given by [tex]s(t) = 3 - 4t[/tex]

To find instantaneous velocity we take derivative

LEts take derivative of s(t)

[tex]s'(t)= -4[/tex]

we need to find the instantaneous velocity at t = 8

So we plug in 8 for 't' in the derivative. there is no 't' in the derivative

So, [tex]s'(8)=-4[/tex]

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