please answer this question
Answers
Question: An athlete complete one round of a circular track of diameter 200 metres in 40 seconds, what will be the distance cover and the displacement at the end of 2 minutes 20 seconds.
Provided that:
- Diameter of circle = 200 m
- Time taken = 40 seconds
To calculate:
To calculate:• The distance at the end of 2 minutes 20 seconds.
• The displacement at the end of 2 minutes 20 seconds.
Solution:
Solution:• The distance at the end of 2 minutes 20 seconds = 2200 metres
• The displacement at the end of 2 minutes 20 seconds = 200 metres
Full solution:
Full solution:~ Firstly let us calculate distance!
↪️ Firstly we have to convert minutes into seconds by applying suitable formula!
→ 1 minute = 60 seconds
→ 2 min = 2 × 60
→ 2 min = 120 seconds
→ 2 min 20 seconds = 120 + 20
→ 2 min 20 seconds = 140 seconds
~ Now let's convert diameter into radius by applying suitable formula!
~ Now let's ind out the number of rounds!
→ Rounds = Ending time/Starting time
→ Rounds = 140/40
→ Rounds = 3.5
~ Now let's find circumference of the circular track by using formula!
~ Now let's find distance by multiplying circumference with rounds
→ Distance = Circumference × Rounds
→ Distance = 628.57 × 3.5
→ Distance = 2200 metres
~ Now let's talk about displacement!
Explanation: Displacement is said to be the shortest distance. Therefore, according to figure the displacement is the diameter of the circular track itself!
→ Displacement = Diameter
→ 200 m = 200 m
→ Displacement = 200 m