The centre of mass of the two particles
A) Will move in a parabolic path for any values of \[{{v}_{1}},{{v}_{2}},{{\theta }_{1}}\] and \[{{\theta }_{2}}\]
B) Can move in a vertical line
C) Can move in a horizontal line
D) Will move in a straight line for any values of \[{{v}_{1}},{{v}_{2}},{{\theta }_{1}}\] and \[{{\theta }_{2}}\].
Correct Answer: B
Solution :
[b] Centre of mass will move in a vertical line if \[{{v}_{1}}\,\,\cos {{\theta }_{1}}={{v}_{2}}\cos {{\theta }_{2}}\]. Otherwise for any other values, it will follow a parabolic path.
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