Finding Rectangular Coordinates

[Jordash]

Homework Statement

A particle moves with position as a function of time in seconds given by the vector ~r = (5t^3, 3t − 6t^4)m.

What are the rectangular coordinates of the particle’s position at t = 2.5 s?
What are the rectangular coordinates of the particle’s velocity at t = 2.5 s?
What are the rectangular coordinates of the particle’s acceleration at t = 2.5 s?

Homework Equations

The Attempt at a Solution

I'm a little bit lost? I know that the Vector Components is rx=(5t^3) and ry=6t^4 is that right, so I know I plug in numbers to find the vectors but I don't know which ones?

 

[NoMoreExams]

What's the relationship between distance, velocity and acceleration functions?

 

[Jordash]

I'm not sure what that means but it says something like this:

Derive expressions for the velocity and the acceleration of the particle as function of time in
Cartesian coordinates.

 

[NoMoreExams]

Yes I am asking if you have a function that tells you distance, how do you get velocity function?, how do you get acceleration function?