Find David's Velocity w/ Respect to John: Relative Velocity Homework

[student 1]

Homework Statement

John equation of motion is Rj(t)=(t^2+3t)i + tj. David's equation of motion is Rd(t)=5ti+t^3j. At t=1 find David's velocity with respect to john.

Homework Equations

The Attempt at a Solution

I know if you plug in the one that will give you the position they are both at when t=1. Where do I go from there to find their velocity?

 

[Irid]

It's a dead end if you plug in t=1 in the first place. Instead, you should differentiate the positions with respect to time to find the velocities. Hint:
$$\frac{d}{dt} (x^n) = nx^{n-1}$$

 

[student 1]

Ok, that makes a lot more sense! I believe that's going to help me out! Thanks. I was just totally looking past that.