Two billiard balls are rolling on a flat table. One has velocity components vx=1m/s, vy=3m/s and other has components ,vx′=2m/s and vy′=2m/s.. If both the balls start moving from the same point, the angle between their Paths is
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a
60°
b
45°
c
22.5°
d
15°
answer is D.
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Detailed Solution
v1=1i+3j and v2=2i+2jv1⋅v2=(i+3j)⋅(2i+2j)=2+23or v1v2cosθ=2+23cosθ=12×12+32×12=cos60cos45+sin60sin45=cos(60−45)=cos15or θ=15∘