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Question

Physics Question on Motion in a plane

If the initial velocity of a body is V1V_1 and final velocity is V2V_2 and the angle between V1V_1 and V1V_1 is ϕ\phi then the change in velocity is.

A

V2V1V-2-V_1

B

V22+V12\sqrt{V_2^2+V_1^2}

C

V12+V222V1V2cosϕ\sqrt{V_1^2+V_2^2-2V_1V_2\,\cos\,\phi}

D

V12+V22+2V1V2cosϕ\sqrt{V_1^2+V_2^2+2V_1V_2\,\cos\,\phi}

Answer

V12+V222V1V2cosϕ\sqrt{V_1^2+V_2^2-2V_1V_2\,\cos\,\phi}

Explanation

Solution

Answer (c) V12+V222V1V2cosϕ\sqrt{V_1^2+V_2^2-2V_1V_2\,\cos\,\phi}