Math Problem Statement

What is the average speed in metres per second?

Solution

To calculate the average speed in meters per second (m/s\text{m/s}), you can use the formula:

Average Speed=Total DistanceTotal Time\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}

Given:

  • Total Distance: 5.0×103m5.0 \times 10^3 \, \text{m}
  • Total Time: 1.74×102s1.74 \times 10^2 \, \text{s}

Calculation:

Average Speed=5.0×103m1.74×102s=5000m174s28.74m/s\text{Average Speed} = \frac{5.0 \times 10^3 \, \text{m}}{1.74 \times 10^2 \, \text{s}} = \frac{5000 \, \text{m}}{174 \, \text{s}} \approx 28.74 \, \text{m/s}

So, the average speed is approximately 28.74m/s28.74 \, \text{m/s}.

Would you like more details or have any questions?

Additional Questions:

  1. How would the average speed change if the distance was increased?
  2. What would the average speed be if the time were halved?
  3. How can you convert this speed to kilometers per hour (km/h)?
  4. How is average speed different from instantaneous speed?
  5. Can you explain the relationship between speed, distance, and time?
  6. How would you find the average speed if the journey was divided into different segments with different speeds?
  7. Why is average speed an important concept in physics?
  8. How would the average speed be affected if the distance were given in miles?

Tip: When calculating average speed, ensure that both the distance and time are in consistent units, typically using SI units like meters and seconds for clarity and accuracy.

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Math Problem Analysis

Mathematical Concepts

Physics
Kinematics

Formulas

Average Speed = Total Distance / Total Time

Theorems

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Suitable Grade Level

High School