Men’s 50 m Freestyle Swim
xi = 0 m xf = ___________________ 𝒔𝒙 = ___________________
d = _____________
v avg = __________________ 𝒗𝒂𝒗𝒈 = ___________________________

Calculate the initial position, xi, final position, xf , displacement, 𝒔𝒙 , distance, d and average speed, vavg , and
average velocity, vavg , for a swimmer from the starting block. He sets a new high school record of 23.05
seconds.



To solve this problem for the Men’s 50 m Freestyle Swim, let's analyze the given information and calculate the required values.

### Men’s 50 m Freestyle Swim

1. **Initial Position, \( x_i \)**:
   - The swimmer starts from the starting block.
   - Given: \( x_i = 0 \, \text{m} \)

2. **Final Position, \( x_f \)**:
   - The swimmer finishes at the 50-meter mark.
   - \( x_f = 50 \, \text{m} \)

3. **Horizontal Displacement, \( s_x \)**:
   - Displacement is calculated as the difference between the final and initial positions.
   \[
   s_x = x_f - x_i = 50 \, \text{m} - 0 \, \text{m} = 50 \, \text{m}
   \]

4. **Distance, \( d \)**:
   - The distance traveled is the same as the displacement in this case, as there is no change in direction.
   \[
   d = s_x = 50 \, \text{m}
   \]

5. **Average Speed, \( v_{\text{avg}} \)**:
   - Average speed is the total distance divided by the total time.
   \[
   v_{\text{avg}} = \frac{d}{t} = \frac{50 \, \text{m}}{23.05 \, \text{s}} \approx 2.17 \, \text{m/s}
   \]

6. **Average Velocity, \( \bar{v} \)**:
   - Average velocity is the displacement divided by the total time.
   \[
   \bar{v} = \frac{s_x}{t} = \frac{50 \, \text{m}}{23.05 \, \text{s}} \approx 2.17 \, \text{m/s}
   \]
   - Since the swimmer moves in a straight line from the start to the finish, the average speed and average velocity are equal in this case.

### Summary:
- **\( x_i = 0 \, \text{m} \)**
- **\( x_f = 50 \, \text{m} \)**
- **\( s_x = 50 \, \text{m} \)**
- **\( d = 50 \, \text{m} \)**
- **\( v_{\text{avg}} = 2.17 \, \text{m/s} \)**
- **\( \bar{v} = 2.17 \, \text{m/s} \)**

Would you like to review any part of this or need further clarification?

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### Related Questions:
1. How would the average speed change if the swimmer completed the race in a shorter time?
2. What factors could affect the swimmer's displacement during the race?
3. How does the swimmer's starting speed impact the overall time taken?
4. If the swimmer had to swim back to the starting point, how would that affect the displacement and distance?
5. What is the significance of maintaining a straight path in minimizing the distance traveled?

### Tip:
In linear motion, when the direction doesn’t change, the magnitude of average velocity and average speed will be the same, but they can differ when motion involves a change in direction.

Learn how to calculate initial position, final position, displacement, distance, average speed, and average velocity for the Men’s 50 m Freestyle Swim. This problem involves basic kinematic concepts such as displacement and average speed, suitable for high school students.

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