Determination of the true velocity when apparent velocity is given

When relative velocity of the point Q with respect to the observer P is given, as also velocity of the observer P, true velocity of Q can be obtained by compounding these 2 given velocities.

That is  here  a is the angle between

 and tanθ = .

Example: To THE man walking due east at rate of 4 km/hr, wind appears to blow from North East at 4√2 km/hr. Find OUT the true velocity of wind.

                        Hence wind is actually blowing from north at 4 km/hr.

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