Position from polar velocity A particle P starts at time t 0s at the position

x=3 m
y=-4 m.

The velocity v of the particle is written in the polar basis associated with its current position, and is:

vi -2sin(2t)ês m/s

In the above expression, t is in seconds.

Matlab/Mathematica input:

x0=3
y0=-4

What is the position of P att-4 s?