A runner runs a round of a rectangle track with a length and width of 50 m. and 30 m. respectively. Find the distance and displacement of the traveled path by the runner.
Answers
Answer:
Distance travelled = 160 m
Displacement = 0
Explanation:
As per the provided information in the given question, we have :
- A runner runs a round of a rectangle track.
- Length of the park = 50 m
- Breadth of the park = 30 m
We are asked to calculate the distance and displacement of the traveled path by the runner.
Let us first understand what is meant by distance and displacement.
Distance is the total length of the path covered by the body and its SI unit is metre and it is a scalar quantity, means it has only magnitude .
And, displacement is the shortest distance from initial position to final position of the body. Its SI unit is metre and it is a vector quantity, means it has both magnitude and direction.
Note : Shortest distance from initial position to final position is always a straight line.
★ Calculating distance travelled by the runner :
Since, the runner takes a round of the rectangular track. So, it means that he covers the total boundary of the track once.
In order to calculate the distance covered by him, we need to find the length of the boundary of the track. Boundary of the track refers to the perimeter of the track.
→ Distance travelled = Total length of the track
→ Distance travelled = 2(length + breadth)
→ Distance travelled = 2(50 + 30) m
→ Distance travelled = 2(80) m
→ Distance travelled = 160 m
Therefore, distance travelled by the runner is 160 m.
★ Calculating displacement :
Whenever the body comes back to its initial position after covering certain distance, then its displacement is 0.
Here, the runner came back to its initial position after covering one round of the rectangular track. So, its initial position and final position is same. Therefore, the displacement is 0.
→ Displacement = 0