Particle A starts from the origin and moves with constant velocity

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

\mathbf{v}_A = 3\,\hat{i} + 6\,\hat{j}\,\text{m}\,\text{s}^{-1}

. Particle B starts simultaneously from the point

\mathbf{r}_{B0} = 8\,\hat{i} + 4\,\hat{j}\,\text{m}

and moves with velocity

\mathbf{v}_B = 7\,\hat{i} + 8\,\hat{j}\,\text{m}\,\text{s}^{-1}

. (a) Find the time at which the two particles meet. (b) Calculate the magnitude of the velocity of A relative to B at that instant.