A car moved 654 m in 24.1 s. Using the formula [math: speed=distance movedtime taken] calculate the speed of the car to the appropriate number of significant figures.

Question

BlackTom AI · Accepted Answer

Speed = distance moved / time taken, so use m/s units: speed = 654 m / 24.1 s.

1) Relevant knowledge points and concepts
- Speed is defined as distance divided by time; when distance is in metres and time in seconds the unit is metres per second (m/s).
- When reporting a result, use significant-figure rules: the result should generally be reported with the same number of significant figures as the least precise measurement used in the calculation. Here 654 has 3 significant figures and 24.1 has 3 significant figures, so the answer should be given to 3 significant figures.

2) Complete step-by-step reasoning
- Apply the formula: speed = distance / time.
- Substitute the given numbers: speed = 654 ÷ 24.1 (m/s).

3) Calculation with intermediate steps
- Multiply numerator and denominator by 10 to remove the decimal: 654 ÷ 24.1 = 6540 ÷ 241.
- Perform the division: 241 × 27 = 6507, remainder 6540 − 6507 = 33.
- Fractional part = 33/241 ≈ 0.13693.
- So the exact quotient ≈ 27.13693 m/s.

4) Why the correct answer is correct
- The raw quotient is ≈ 27.13693 m/s. Using the significant-figure rule (both inputs have 3 s.f.), round the result to 3 significant figures. 27.13693 rounded to 3 s.f. is 27.1 (the third significant digit is the “1” in the tenths place; the next digit 3 does not round it up).

5) Other options (not applicable)
- This was a numerical-answer question rather than multiple choice; common incorrect formats would be 27.14 m/s (too many sig figs) or 27 m/s (too few sig figs).

6) Conclusion
- The correctly rounded speed is 27.1 m/s, which matches the provided answer (27.1m/s).

A car moved 654 m in 24.1 s. Using the formula [math: speed=distance movedtime taken] calculate the speed of the car to the appropriate number of significant figures.Numerical

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