Question

A person is running along a circular path in a park
a) At what point he changes his direction while running?
b) If he covered half of the circular path, what will be his displacement?
Draw a diagram showing it

Answer 1

a) Every point he changes his direction whilerunning b) half part of the circle is displacement

Answer 2

a) He changes his direction at every point while running.

• A body's direction is continually changing when it rotates in a circle.
• The body must be moving even though its speed is constant since velocity is a vector quantity with both a magnitude and a direction.

b) His displacement will be equal to the diameter of the circle.

• Displacement means a shift in an object's position.
• It is a vector quantity with a magnitude and direction.
• It is the shortest distance between the initial point and the final point.
• Here, the person covers or runs half of the circular path.
• The distance traveled by him is half the circumference of the circular path.
• But the displacement is the shortest distance joining the initial and final points, which will be the diameter of the circle.
• In the attached diagram, if the person moves from A to B in the circle, his displacement will be 2r, where r is the radius of the path.

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