Halliday, Resnick & Walker — Motion in Two and Three Dimensions: Problem 107

A particle $P$ travels with constant speed on a circle of radius $r = 3.00 \text{ m}$ (Fig. 4.36) and completes one revolution in $20.0 \text{ s}$. The particle passes through $O$ at time $t = 0$. State the following vectors in magnitude-angle notation (angle relative to the positive direction of $x$). With respect to $O$, find the particle’s position vector at the times $t$ of (a) 5.00 s, (b) 7.50 s, and (c) 10.0 s. (d) For the 5.00 s interval from the end of the fifth second to the end of the tenth second, find the particle’s displacement. For that interval, find (e) its average velocity and its velocity at the (f) beginning and (g) end. Next, find the acceleration at the (h) beginning and (i) end of that interval.