Velocity of ship A,
Velocity of ship B,
The relative velocity of B w.r.t. A is,
Magnitude of velocity is given by,
∴
and
So, relative velocity of B w.r.t. A is 25.6 km/h due
The distance between two ships after 5 hours,
S = Vt
= 25.6 x 5
= 128km.
Let the velocity of ejecting gases with respect to ground be .
Velocity of jet plane,
Velocity of ejected products w.r.t. jet plane,
Now, relative velocity of ejecting gases w.r.t the jet plane is given by,
Let be the unit vectors along east and south.
The velocity of ship P,
The velocity of ship Q,
∴
and
Thus the velocity of ship Q w.r.t. P is 50 km/hr due 37° west of south.