Please see the attached images.
The position of a particle moving along a coordinate axis is given by ##s(t) = t^3-9t^2+24t+4## where t is greater than 0.
a) Find v(t)
b) At what time(s) is the particle at rest?
c) On what time intervals is the particle moving from left to right and at what times is it moving from right to left?
d) Sketch the path of the particle
The Attempt at a Solution
My question is in regards to part d, in sketching the graph of the particle's travel.
To give you some information, I'll post the answers I got to parts a-c.
a) ##v(t) = 3t^2-18t+24##
b) The particle is at rest at t=2 second, and at t=4 seconds
c) The particle is moving from left to right on the intervals [0,2) and (4,∞).
The particle is moving from right to left on the interval (2,4)
Now how can I visually represent this? If I use a traditional X,Y coordinate plane, to move backwards it would look like I was going back in time.