The position of a particle moving in an xy plane is
given by ~r = (2t
3 − 5t)ˆi + (6 − 7t
4
)ˆj with ~r in meters
and t in seconds. In unit vector notation, Calculate (a)~r
(b) ~v and (c)~a for t = 2s (d) what is the angle between
the positive direction of the x-axis and a line tangent to
the particle’s path a t = 2s?