Question

The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.

Answer 1

Do you need to find \[s'(2)?\]

Answer 2

I have no idea what this question is asking me to do

Answer 3

http://www.wikihow.com/Calculate-Instantaneous-Velocity

Answer 4

This shows your problem

Answer 5

Hint, we know \(\Large\frac{ds}{dt} = v\)

So if we find the derivative of the function, we will know the velocity at any given point

So we merely take the derivative function and plug in t = 2, what do you get?

*dont overthink it when you take the derivative*

Answer 6

Paraphrasing john: Differentiate s(t) = -2 - 6t with respect to time, t.

Answer 7

im so confused :/

Answer 8

@Abbs__ are you there?
This question pertains to applications of the derivative, important for you to know.
Given a function such as s(t), which here represents position (how far an object is from the origin), the derivative with respect to t can represent speed or the magnitude of velocity. Similarly, if you find the 2nd derivative of s(t) with respect to t, the result can represent the acceleration