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?
d = pi*2r/2 = pi*r = 3.14 * 70 = 219.9 m
= Total distance covered. = Total Dis-
placement.
To find the total distance covered by the athlete, we need to calculate the circumference of the semicircular track. The formula for the circumference of a circle is given by:
C = 2πr
where C is the circumference and r is the radius. Since we are dealing with a semicircle, we need to divide the circumference by two:
C_sem = (2πr)/2 = πr
Substituting the given radius (r = 70m) into the formula, we can calculate the circumference of the semicircular track:
C_sem = π(70) ≈ 219.91m
Therefore, the total distance covered by the athlete is approximately 219.91 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 of an object. The displacement can be found using the formula:
d = 2r
where d is the displacement and r is the radius.
Substituting the given radius (r = 70m) into the formula, we can calculate the displacement of the athlete:
d = 2(70) = 140m
Therefore, the displacement of the athlete is 140 meters.