Question

A body moving in a circle of radius 14cm completes 2 and a half rounds . Find distance and displacement

Answer 1

distance is the actual path covered by the body it will be equal to the circumference of the circle

as the body covers to complete rounds and one half round

distance

=2×2πr +πr

=4×3.14×14+3.14×14

=175.84+43.96

=219.8 cm

displacement is the shortest distance between the initial and final position

=2r

=2×14

=28cm

I hope this helps ( ╹▽╹ )

Answer 2

Answer:

Distance = 220 metres

Displacement = 28 metres

Explanation:

Given:

Radius = 14 cm

$2\frac{1}{2} \ rounds \ were \ completed$

To find:

Distance and displacement

Distance:

Distance = 2.5×circumference of the circle  ( beacause 2.5 rounds were covered)

Distance = 2.5×$2 \times \pi \times r$

Distance = $5 \times \frac{22}{7} \times 14$

Distance = 220 metres

Displacement:

The displacement would be the diameter as 2.5 rounds were completed:

Diameter = 2×radius

Diameter = 2×14

Diameter = 28 m

The distance covered is 220 metres and displacement is 28 metres