Suppose the position of an object moving in a straight line is given by s (t )equals 4 t2+ 5 t+ 5. Find the instantaneous velocity when t equals 2. What expression can be used to find the instantaneous velocity at the given time?

And that represent the instantaneous velocity at a given time t.

And then we just need to replace t =2 in order to find the instantaneous velocity and we got:

Step-by-step explanation:

For this case we have the position function s(t) given by:

And we can calculate the instanteneous velocity with the first derivate respect to the time, like this:

And if we take the derivate we got:

And that represent the instantaneous velocity at a given time t.

And then we just need to replace t =2 in order to find the instantaneous velocity and we got:

3,000,540

step-by-step explanation: