wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Three ships A. B & C are in motion. Ship A moves relative to B is with speed v towards North east Ship B moves relative to C with speed v towards the North-West. Then relative to A. C will be moving towards :-

A
North
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
South
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
East
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
West
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B South

Let W-E direction is x, and S-N direction is y.

From the first condition,

Va−Vb=1/√2(iˆ+jˆ)

1/√2(iˆ+jˆ) is a unit vector along the NE direction.

From the second condition,

Vb−Vc=1/√2(−iˆ+jˆ)

1/√2(−iˆ+jˆ) is a unit vector along the NW direction.

A velocity of C wrt A is

Vc−Va.=(Vc−Vb)−(Va−Vb)=1/√2(iˆ−jˆ)−1/√2(iˆ+jˆ)=−2‾√vjˆ

SoC is moving toward South wrt A


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Relative Motion
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon