A particle $P$ moves on a curved path defined by polar coordinates. At a certain instant when $=5\frac{}{4},a_{}=16m\frac{m}{se{c}^2,r}=5mm,r^{}=6m\frac{m}{s^2},{}^{}=0\mathrm{.}5ra\frac{d}{s}$ and is increasing at the rate of $4ra\frac{d}{s}$ each second. Use whatever information you need and compute the magnitude of velocity of the particle. $[$Ans: $v=4\mathrm{.}72m\frac{m}{s}]$