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An athlete run from starting of circular path and he end before some distance of complete circle path. Given, R = 7m to starts and 7m to end then find the distance and displacement travelled by body?
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An athlete run from starting of circular path and he end before some d...
Distance and Displacement Calculation
Distance and displacement are two important concepts in physics that describe the motion of an object. In this scenario, we have an athlete running along a circular path from a starting point to a point before completing the full circle.

Given Data:
- Radius of the circular path, R = 7m
- Athlete starts at a point 7m from the center (starting point)
- Athlete ends at a point 7m from the center (end point)

Distance Travelled:
- To calculate the distance travelled by the athlete, we need to find the circumference of the circle.
- The formula for the circumference of a circle is C = 2πR, where R is the radius.
- Substituting the given radius value, C = 2 x π x 7 = 14π meters.
- However, the athlete does not complete the full circle, so the distance travelled is less than the circumference.
- The distance travelled by the athlete is the length of the arc between the starting and ending points.
- This can be calculated using the formula for the length of an arc, which is given by L = θR, where θ is the angle subtended by the arc at the center of the circle.
- Since the athlete ends before completing the circle, we can calculate the angle θ using trigonometry.
- The angle θ = cos^(-1)(7/14) = cos^(-1)(0.5) = 60 degrees.
- Therefore, the distance travelled by the athlete is (60/360) x 14π = 7π meters.

Displacement:
- Displacement is a vector quantity that describes the change in position of an object.
- It is the shortest distance between the starting and ending points, along with the direction.
- In this case, the displacement of the athlete can be calculated as the straight-line distance between the starting and ending points, which is 14 meters.
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An athlete run from starting of circular path and he end before some distance of complete circle path. Given, R = 7m to starts and 7m to end then find the distance and displacement travelled by body?
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