Question

A football player runs from a location 10m from the left sideline and 10m from his/her goal line to a location 30m from the left sideline and 65m from the goal-line. His displacement is 59m. The player did not run in a straight line. At the start there are 60s left on the clock; at the end there are 45s left on the clock.

What is the distance covered?

Answer 1

The distance covered by the football player is approximately 133.59 meters.

Step-by-step explanation:

The distance covered by the football player can be found by adding up the distances of each segment of their motion. We can use the Pythagorean theorem to find the distance covered in a diagonal segment.

Let's calculate the distance covered:

1. Segment 1: 30 m - 10 m = 20 m
2. Segment 2: 65 m - 10 m = 55 m
3. Segment 3 (diagonal): sqrt((30 m - 10 m)^2 + (65 m - 10 m)^2) = sqrt(20^2 + 55^2) = sqrt(400 + 3025) = sqrt(3425) ≈ 58.59 m

Adding up the distances: 20 m + 55 m + 58.59 m = 133.59 m