The motion of a particle moving in a circle in the x-y plane is described by the equations: r(t)=1.82, ?(t)=6.84t

Where ? is the polar angle measured counter-clockwise from the + x-axis in radians, and r is the distance from the origin in m. Calculate the x-coordinate of the particle at the time 1.30 s.

Calculate the y-component of the velocity at the time 4.00 s?

Calculate the magnitude of the acceleration of the particle at the time 3.10 s?

By how much does the speed of the particle change from t=10 s to t=63 s?

Calculate the x-component of the acceleration at the time 3.00s?