Question

Q25. An object covers a complete circle of radius 7 m in
40 s. What will be its distance travelled and
displacement in 100 s?​

Answer 1

Answer:

Distance=44m

Displacement=0m

Explanation:

distance=2pie r

2*22/7*7

=44m

displacement=0

Because had has return to its position.

Answer 2

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Given :

An object covers a circle of radius 7m in 40secs

To find:

Distance travelled and displacement in 100 secs

Solution:

Refer attachment given. At 40 secs object reaches A and at 100 secs object reaches B

In 40 secs object cover 1 round of circle

In 100 secs object cover 100×1/40 = 2.5

round that means 2 round + half round

2 and half round from A to A then A to B

Distance covered = 2.5 × circumference

$\\ = 2.5 \times 2 \: \pi \: r \\ \\ = 2.5 \times 2 \times \dfrac{22}{7} \times 7 \\ \\ = 2.5 \times 2 \times 22 \\ \\ = 2.5 \times 44 = 110 \: m$

Displacement is the shortest distance between final and initial point. Here in attachment the initial point is A and final point is B

Displacement = r + r ( from A to B)

$\\ = 7 + 7 \\ \\ = 14 \: m$

Required Answer:

Therefore displacement is 14m and distance is 110m

Basic Points:

1. Distance is the entire length object travelled
2. Displacement is shortest distance between final and initial point
3. Solve more such questions to get a good hold on it