﻿ A ship P is sailing due east at 30 km/h and another ship Q is going due south with a velocity of 40 km/h. Find the velocity of ship Q that will appear to an observer in P. from Physics Motion in A Plane Class 11 Manipur Board

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A ship P is sailing due east at 30 km/h and another ship Q is going due south with a velocity of 40 km/h. Find the velocity of ship Q that will appear to an observer in P.

Let  be the unit vectors along east and south.

The velocity of ship P, , along east.

The velocity of ship Q, , along south.
Velocity of the ship is given by,

Mangitude of velocity,

and

Thus, the velocity of ship Q w.r.t. P is 50 km/hr due 37° west of south.

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