Suppose I am going in a direction with a velocity v1 and my friend is going in a direction which makes an angle of A with my direction with a velocity of v2.
Then what will be my relative motion with respect to my friend or his relative motion with respect to me?
Every book I have read gave example where two things are going parallel or opposite of me. But I've never found any example with an angle.
Answer
Let's say your velocity is →v1 is →v1=v1xˆi+v1yˆj and your friends velocity →v2 is →v2=v2xˆi+v2yˆj Then your velocity relative to your friend will be →vr=(v1x−v2x)ˆi+(v1y−v2y)ˆj The components can be found by considering an appropriate coordinate system. In this case that will be a coordinate system with the x-axis aligned with your friends velocity. In that case v2y=0. While the components of your velocity will be v1x=v1cosA and v1y=v1sinA.
Hope this helps.
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