Question

A person runs along a circular path of radius 5m. If he completes half of the circle find the magnitude of the displacement vector how far the person ran?

Answer 1

Answer:

10m and 5 pi m

Explanation:

displacement of vector = 2×r

=2×5

=10m

distance covered =half of circumference of circle =1/2 of 2pir

pi x radius

=pi×5

=5pi m

Answer 2

Given:

• Person ran half of circle of radius 5m.

To find:

• Magnitude of displacement ?
• Distance value ?

Calculation:

Displacement is defined as the shortest length between the starting and the stopping point of an object.

So, when the person ran half circle, the shortest length between the starting and stopping point WILL BE THE DIAMETER.

• So, displacement = 2r = 2 × 5 = 10 m.

Now, person ran a distance of half circumference, so his distance is : πr = 22/7 × 5 = 15.07 metres.

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