Figure shows a circular path taken by a particle. If the instantaneous velocity of the particle is $\overrightarrow{v}=(2 \mathrm{m} {\mathrm{s}}^{-1}) \hat{\mathrm{i}}–(2 \mathrm{m} {\mathrm{s}}^{-1}) \hat{\mathrm{j}}$ . Through which quadrant is the particle moving when it is travelling (a) clockwise and (b) counterclockwise around the circle?

 

A particle moves in a circle of radius $1.0 \mathrm{cm}$ at a speed given by $v=2.0t$ where $v$ is in $\mathrm{cm} {\mathrm{s}}^{-1}$ and $t$ in seconds.

(a) Find the radial acceleration of the particle at $t=1 \mathrm{s}$.

(b) Find the tangential acceleration at $t=1 \mathrm{s}$.

(c) Find the magnitude of the acceleration at $t=1 \mathrm{s}$.