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A car's speed is measured as 60 km/h with a relative error of 5%. What is the ab

Practice Questions

Q1
A car's speed is measured as 60 km/h with a relative error of 5%. What is the absolute error?
  1. 3 km/h
  2. 2 km/h
  3. 4 km/h
  4. 5 km/h

Questions & Step-by-Step Solutions

A car's speed is measured as 60 km/h with a relative error of 5%. What is the absolute error?
  • Step 1: Understand that the car's speed is measured as 60 km/h.
  • Step 2: Know that the relative error is given as 5%.
  • Step 3: Convert the relative error percentage to a decimal by dividing by 100: 5% = 0.05.
  • Step 4: Calculate the absolute error by multiplying the relative error (in decimal) by the measured value: Absolute error = 0.05 * 60.
  • Step 5: Perform the multiplication: 0.05 * 60 = 3.
  • Step 6: Conclude that the absolute error is 3 km/h.
  • Relative Error – The ratio of the absolute error to the measured value, expressed as a percentage.
  • Absolute Error – The difference between the measured value and the true value, representing the magnitude of the error.
  • Error Calculation – The process of determining the absolute error from the relative error and the measured value.
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