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An aeroplane A, is travelling in a strai...

An aeroplane A, is travelling in a straight line with a velocity of 300 km/ hr with respect to Earth . Another aeroplane B, is travelling in the opposite direction with a velocity of 350 km/hr with respect to Earth. What is the relative velocity of A with respect to B? What should be the velocity of a third aeroplane C moving parallel to A, relative to the Earth if it has a relative velocity of 100 km/hr with respect to A?

Text Solution

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Let `v_A, V_B and V_C` be the velocities of the three planes relative to the Earth. Relative velocity of A with respect to `B=V_(AB) V_A - V_B = 300 – (-350) = 650 km//hr`
Relative velocity of C with respect to `A= V_(CA)=V_C -V_A = 100 km//hr`.
Thus, `V_C = V_(CA) + V_A = 400 km//hr`
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