# Velocity and acceleration on a running track

• mwhowell
In summary, the conversation discusses a runner running with a constant speed around a track and the points at which their velocity and acceleration would be the largest. The consensus is that the runner would have the greatest velocity and acceleration at point B due to the curvature of the track, but further explanation or a picture may be needed to confirm.
mwhowell

## Homework Statement

A runner runs with a constant speed around the track.

1. At which point is the runner's velocity the largest? Explain.
2. At which point is the runner's acceleration the largest? Explain

## The Attempt at a Solution

It seems to me that the runner would have the greatest velocity and acceleration at point B because he/she is covering the most area in the x and y planes in with every stride due to the bend in the track but I am not 100% sure. Can anyone tell me if that is correct and if not explain to me how to find the correct answer?

Last edited:
Maybe there's a picture you should include?

## 1. What is velocity and acceleration on a running track?

Velocity is the rate of change of an object's position with respect to time. In the context of a running track, it is the speed at which a runner moves around the track. Acceleration, on the other hand, is the rate of change of an object's velocity with respect to time. It is the change in velocity over a specific period of time.

## 2. How is velocity and acceleration calculated on a running track?

Velocity can be calculated by dividing the distance traveled by the time taken to cover that distance. For example, if a runner covers 100 meters in 10 seconds, their velocity would be 10 meters per second. Acceleration, on the other hand, can be calculated by dividing the change in velocity by the time taken. For instance, if a runner increases their speed from 5 meters per second to 10 meters per second in 2 seconds, their acceleration would be (10-5)/2 = 2.5 meters per second squared.

## 3. How does velocity and acceleration affect a runner's performance on a running track?

Velocity and acceleration are crucial factors in a runner's performance on a running track. A higher velocity means the runner is covering more distance in a shorter amount of time, which can lead to a faster overall time. Acceleration also plays a significant role, as a runner who can accelerate quickly will reach their desired velocity faster, giving them an advantage over their competitors.

## 4. How does a runner's body position affect their velocity and acceleration on a running track?

The body position of a runner can greatly impact their velocity and acceleration on a running track. A runner with good posture and proper form will be able to maintain a more efficient and streamlined motion, leading to a higher velocity and acceleration. On the other hand, a runner with a poor body position may experience more resistance and have a slower pace.

## 5. How do external factors, such as wind or incline, affect a runner's velocity and acceleration on a running track?

External factors like wind or incline can greatly impact a runner's velocity and acceleration on a running track. Wind resistance can slow down a runner's speed, while running uphill requires more energy and can decrease their acceleration. On the other hand, running downhill can increase a runner's velocity and acceleration due to the pull of gravity.

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