RELATIVE VELOCITY (CLEAR YOUR DOUBT)
Relative velocity Let us consider two objects, A and B moving with velocities V a and V b with respect to a common stationary reference say the ground, a bridge or a fixed platform. The velocity of the object A relative to the object B can be given as, V a b = V a − V b Similarly, the velocity of the object B relative to that of object a is given by, V b a = V b − V a From the above two expressions, we can see that V a b = − V b a Although the magnitude of both the relative velocities is equal to each other. Mathematically, | V a b | = | V b a | Let's consider the following examples We can understand the concept of relative velocity more clearly with the help of the following example. Example : A plane is travelling at velocity 100 km/hr, in the southward direction. It encounters wind travelling in the west direction at a rate of 25 km/hr. Calculate the resultant velocity of the plane. Given, the velocity of the wind = V w = 25 km/hr The velocity of the plane = V a = 100 km/hr
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