Ship A is located 4 km north and 3 km east of ship B . Ship A has a velocity of (20 kmh^ -1 ) towards the south and ship B is moving at (40 kmh^ -1 ) in a direction (37^ ) north of east. X and Y -axes are along east and

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NEET · Physics · Motion in One Dimension

Ship A is located 4 km north and 3 km east of ship B . Ship A has a...

Ship

A

is located 4 km north and 3 km east of ship

B

. Ship

A

has a velocity of (20 \mathrm{kmh}^{-1}) towards the south and ship

B

is moving at (40 \mathrm{kmh}^{-1}) in a direction (37^{\circ}) north of east.

X

and

Y

-axes are along east and north directions, respectively.

AVelocity of $A$ relative to $B$ is (-32 \hat{\mathrm{i}}-44 \hat{\mathrm{j}})
BPosition of $A$ relative to $B$ as a function of time is given by (\mathrm{r}_{A B}=(3-32 t) \hat{\mathrm{i}}+(4-44 t) \hat{\mathrm{j}})
CVelocity of $A$ relative to $B$ is (32 \hat{\mathrm{i}}-44 \hat{\mathrm{j}})
DPosition of $A$ relative to $B$ as a function of time is given by ((32 t \hat{\mathrm{i}}-44 t \hat{\mathrm{j}}))

B. Position of $A$ relative to $B$ as a function of time is given by (\mathrm{r}_{A B}=(3-32 t) \hat{\mathrm{i}}+(4-44 t) \hat{\mathrm{j}})

Both options '

a

' and '

b

' are correct. This indicates that multiple conditions or descriptions are valid for the given scenario in the question.