Originally Posted by

**iluvmathbutitshard** So the question is:

Suppose an object moves along a horizontal path with the position function *x*(*t*) = 4*t *– *t^*2 on the time interval 0 ≤ *t *≤ 5, where *x *is measured in meters and *t *is measured in seconds. Find the instantaneous velocity of the object from *t *= 1. Use units to describe what this value means.

I know that the first step is to find the derivative of the position function so:

lim(delta x -> 0) [s(t + delta t) - s(t)] / [delta t]

[((4t + delta t) - t^2) - (4t - t^2)] / [delta t]