s(t)= -16t^2 + 400t + 5

What is the Instantaneous Velocity after 8 sec?

I'm not exactly sure what to do..

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- Feb 8th 2009, 08:06 PMciviliamInstantaneous Velocity calculus
s(t)= -16t^2 + 400t + 5

What is the Instantaneous Velocity after 8 sec?

I'm not exactly sure what to do.. - Feb 8th 2009, 09:43 PMGrandadVelocity
Hello civiliamThe velocity at any instant is given by the value of $\displaystyle \frac{ds}{dt}$ at that instant. So you need to differentiate your function (are you OK with that?), to get a formula for $\displaystyle \frac{ds}{dt}$ in terms of $\displaystyle t$. Then plug in the value $\displaystyle t = 8$. (You should get the answer $\displaystyle 144$.)

Can you complete it now?

Grandad

- Feb 9th 2009, 07:11 AMciviliam
Thanks man did it got exactly that :)