At , two frames and coincide. Thereafter the origin of moves with constant velocity…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

t = 0

, two frames

S

and

S'

coincide. Thereafter the origin of

S'

moves with constant velocity

\mathbf{v}_0 = 4\,\hat{\mathbf{i}} + 3\,\hat{\mathbf{j}}\,\text{m s}^{-1}

relative to

S

, while the axes remain parallel. At

t = 2\,\text{s}

a particle is located at

(5\,\text{m}, 1\,\text{m})

in frame

S

. What are its coordinates

(x',y')

in frame

S'

at that instant? (a)

(13\,\text{m}, 7\,\text{m})

(b)

(3\,\text{m}, 5\,\text{m})

(c)

(-3\,\text{m}, -5\,\text{m})

(d)

(1\,\text{m}, -2\,\text{m})