The velocity and acceleration vectors of a particle undergoing circular motion are $\overrightarrow{ v }=2 \hat{ i } m / s$ and $\overrightarrow{ a }=2 \hat{ i }+4 \hat{ j } m / s ^2$ respectively at an instant of time. The radius of the circle is $........\,m$

A particle is moving in a circular path. The acceleration and momentum vectors at an instant of time are $\vec{a}=2 \hat{i}+3 \hat{j} m / s ^2$ and $\overrightarrow{ p }=6 \hat{ i } + 4 \hat{ j } kgm /$ $s$. Then the motion of the particle is

The ratio of angular speeds of minute hand and hour hand of a watch is

The driver of a car travelling at velocity $v$ suddenly see a broad wall in front of him at a distance $d$. He should

A particle moves with constant angular velocity in a circle. During the motion its

Two particles $A$ and $B$ start at the origin $O$ and travel in opposite directions along the circular path at constant speeds $0.5\,m/s$ and $1.5\,m/s$ , respectively. The time when they collide with each other ........ $\sec$