Ship is located north and east of ship

PHYSICS · Multi correct · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

Ship

A

is located

4\text{ km}

north and

3\text{ km}

east of ship

B

. Ship

A

has a velocity of

20\text{ km h}^{-1}

towards the south and ship

B

is moving at

40\text{ km h}^{-1}

in a direction

37^\circ

north of east. The

x

- and

y

-axes are along east and north directions, respectively. (1) Velocity of

A

relative to

B

(-32\hat{i}-44\hat{j})\text{ km h}^{-1}

(2) Position of

A

relative to

B

as a function of time is

\mathbf{r}_{AB}=[(3-32t)\hat{i}+(4-44t)\hat{j}]\text{ km}

(3) Velocity of

A

relative to

B

(32\hat{i}-44\hat{j})\text{ km h}^{-1}

(4) Position of

A

relative to

B

as a function of time is

(32\hat{i}-44\hat{j})\text{ km}