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What is the formula to find speed?

Here’s a detailed breakdown of the formula to find speed:

Formula:

Speed=Distance ÷Time

Components of the Formula:

  1. Speed:
    Speed is a measure of how quickly an object moves. It is the distance traveled by the object in a given amount of time. It is usually expressed in units like meters per second (m/s) or kilometers per hour (km/h).

    • It is a scalar quantity (it has only magnitude, not direction).
  2. Distance:
    Distance is the total length of the path traveled by an object. It is typically measured in units such as meters (m), kilometers (km), or miles (mi).

    • This is a scalar quantity, meaning it only has magnitude and no direction.
  3. Time:
    Time is the total duration over which the object is moving. It is generally measured in seconds (s), minutes (min), or hours (h).

    • Time is also a scalar quantity.
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How to Use the Formula:

  • Step 1: Measure the distance the object travels. This could be the length of a road, the distance a runner covers, or the path a car travels. Use appropriate units for distance.
  • Step 2: Measure the time it takes for the object to travel that distance. Make sure the time is measured in consistent units like seconds or hours.
  • Step 3: Apply the formula. Divide the distance by the time to calculate the speed.
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Example:

Problem: If a car travels 100 kilometers in 2 hours, what is its speed?

  1. Distance = 100 kilometers
  2. Time = 2 hours

Now, apply the formula:

Speed=Distance ÷Time=100 km2 h=50 km/h

So, the speed of the car is 50 kilometers per hour (km/h).

Unit Conversion:

If you have different units for distance and time (e.g., meters and hours), you might need to convert one of them to keep consistent units. For example, to convert speed from meters per second (m/s) to kilometers per hour (km/h), you would multiply by 3.6 because:

1 m/s=3.6 km/h

Important Notes:

  • Speed vs Velocity: Speed is different from velocity. Velocity also takes into account direction, while speed only measures how fast an object is moving regardless of direction.
  • Constant Speed vs Average Speed: If the speed is constant throughout the motion, it’s just the speed. If the speed varies, you calculate the average speed by dividing total distance by total time.
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