An athlete runs from one end to the other end of a semicircular track whose radius is 70m.what is the total distance covered by the athlete and what is his displacement?
r=70
semi-circumference = πr = 70πm
Displacement = 2r = 140m
What is the distance?
Distance=220m
Displacement=140m
To calculate the total distance covered by the athlete, we need to find the circumference of the semicircular track.
The circumference of a complete circle can be found using the formula C = 2πr, where C is the circumference and r is the radius. Since we only need the distance for a semicircle, we divide the formula by 2, giving us C/2 = πr.
In this case, the radius (r) is given as 70m. Plugging this value into the formula, we get C/2 = π * 70 = 70π.
Therefore, the total distance covered by the athlete on the track is 70π meters.
Now, let's calculate the displacement of the athlete. Displacement is a vector quantity that represents the straight-line distance between the initial and final positions, regardless of the path taken.
Since the athlete runs from one end to the other end of a semicircular track, ending up at the exact opposite side of where they started, the displacement is the diameter of the track, which is twice the radius.
So, the displacement of the athlete is 2 * 70m = 140m.