Math Problem Statement

how fast is someone travelling in mph if they cover 4.5 metres in 1 second

Solution

To convert speed from meters per second (m/s) to miles per hour (mph), you can use the following conversion factor:

1 m/s=2.23694 mph1 \text{ m/s} = 2.23694 \text{ mph}

Given the speed is 4.5 meters per second (m/s), the conversion to miles per hour (mph) is:

Speed (mph)=4.5×2.23694=10.06623 mph\text{Speed (mph)} = 4.5 \times 2.23694 = 10.06623 \text{ mph}

So, the person is traveling approximately 10.07 mph.

Would you like more details or have any questions?

Here are five related questions for further exploration:

  1. How would the speed change if the distance covered in 1 second were doubled?
  2. What is the equivalent speed in kilometers per hour?
  3. How would you calculate the time to cover 1 mile at this speed?
  4. How does this speed compare to average human running speeds?
  5. What is the process for converting between other units of speed?

Tip: Always ensure consistent units when solving speed or distance problems to avoid calculation errors.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Speed Calculation

Formulas

Speed (mph) = Speed (m/s) × 2.23694

Theorems

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Suitable Grade Level

Grades 5-8