The position vector

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

The position vector, velocity vector and acceleration vector of a particle in circular motion are

\mathbf{r}=(3\hat{i}-4\hat{j})\,\text{m}

\mathbf{v}=(4\hat{i}-a\hat{j})\,\text{m s}^{-1}

and

\mathbf{a}=(-6\hat{i}+b\hat{j})\,\text{m s}^{-2}

. The speed of the particle is constant. Match Column I with Column II: (a) value of

a

; (b) value of

b

; (c) radius of circle; (d)

\mathbf{r}\cdot(\mathbf{v}\times\mathbf{a})

. Column II: (p)

8

; (q)

3

; (r)

5

; (s) none.