Final answer:
To find the time taken by an athlete to cover 750m at 7.5 m/s, divide the distance by the speed, resulting in a time of 100 seconds.
Step-by-step explanation:
If an athlete runs a distance of 750m at a speed of 7.5 m/s, the time taken to cover the distance can be calculated using the formula: time = distance ÷ speed. Substituting the given values into the formula, we have time = 750 m ÷ 7.5 m/s. After performing the division, the time taken for the athlete to cover the distance is 100 seconds.
This calculation uses the fundamental relationship between distance, speed, and time. In the context of running, athletes often aim to maintain a consistent speed to achieve the best time possible over a given distance. For instance, an Olympic-quality sprinter runs 100m at an average speed of 10 m/s, taking roughly 10 seconds to complete the distance. A similar approach can be used to estimate how long it would take for a sprint at a known speed to cover any distance.
Understanding these principles is not only crucial for predicting performance in athletic events, but they are also a fundamental part of physics, specifically pertaining to motion and kinematics.