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Question

If a man walks with constant velocity 3^i m/s, and a boy is running with constant velocity of 3^i+4^j m/s, then choose the correct option.

A
Motion of the man is two dimensional.
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B
Motion of the boy is two dimensional.
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C
Motion of both man and boy, is one dimensional.
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D
Can't say as data is insufficient
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Solution

The correct option is C Motion of both man and boy, is one dimensional.
As per the question, the velocity of the man is 3 m/s in the negative x direction, which is in straight line.
Also, the velocity of boy is 32+42=5 m/s at an angle of α=tan1(43)=53 from the positive x axis, which is also in straight line.
As we know that, if the path of a particle is straight line, it is one dimensional motion.
Hence, man and boy both have one dimensional motion.

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