Question

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.

Answer 1

Can you take the derivative of \(s(t)\)? then sub in \(t=8\)

Answer 2

Wait there is something wrong with this question.

Answer 3

If you take the derivative of \(3-4t\) its \(-4\); so you cannot sub in \(t=8\)

Answer 4

@uri that means, the object has a constant velocity of -4m/s
(I am assuming s(t) is in meters and time in sec)

Answer 5

But it says to find the instantenous velocity at \(t=8\). So, I assume there must be some typo by the OP.

Answer 6

yes, It does seem ambiguous but is if it isnt, it might be a trick! and that is the answer!

Answer 7

True^

Answer 8

the askers should use the nice equation tool provided to enter the functions correctly and avoid confusions.

Answer 9

But there are some users who are new to this site; so they don't know how to use it.

Answer 10

yes we teach them.:)

Answer 11

atleast, guide them to where it is and how they can use it.. :)

Answer 12

@uri and @electrokid . Nope that's the correct equation.