Instantaneous Velocity Problem

[Chris686]

Back again! I'm very close to where I think I can ace this first calculus exam, but the idea of instantaneous velocity is eluding me. I think, at least.



So do I start with the derivative?

which would be

2t-2

...and from there I don't know where to go.

 

[tkhunny]

Why did you find the derivative? What does that tell you?

 

[Yogi]

Derivative of position function gives velocity function, derivative of velocity function gives acceleration function, instantaneous velocity is just the velocity at a certain instant in time.

You found v(t)=m'(t)=2t-2 and question 4a is asking when this is equal to 2.