# How do you find the instantaneous velocity at #t=2# for the position function #s(t) = t^3 +8t^2-t#?

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Velocity is the rate of change of position over time, so its the derivative of the function.

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To find the instantaneous velocity at ( t = 2 ) for the position function ( s(t) = t^3 + 8t^2 - t ), you need to find the derivative of the position function ( s(t) ) with respect to time ( t ), which gives the velocity function ( v(t) ). Then, evaluate ( v(t) ) at ( t = 2 ) to find the instantaneous velocity at that point.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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