Physics · real student question

A blink of the eye lasts about 500 ms. If a pilot is flying an Airbus A320 at 1040 km/h, roughly how far does the aircraft travel during that time?

Question

A blink of the eye lasts about 500 ms500\text{ ms}. If a pilot is flying an Airbus A320 at 1040 km/h1040\text{ km/h}, roughly how far does the aircraft travel in that time?

A. 144 m144\text{ m} B. 150 m150\text{ m} C. 1040 m1040\text{ m} D. 1440 m1440\text{ m}

Step-by-step solution

  1. Convert the blink to seconds. 500 ms=0.5 s500\text{ ms}=0.5\text{ s} Mixing milliseconds with km/h\text{km/h} is what makes this question error-prone, so fix the units first.

  2. Convert the speed to metres per second. Multiply by 10001000 and divide by 36003600: v=1040×10003600=10403.6288.89 m/sv=\frac{1040\times 1000}{3600}=\frac{1040}{3.6}\approx 288.89\text{ m/s}

  3. Apply the uniform-motion formula. s=vt=288.89×0.5144.4 ms=vt=288.89\times 0.5\approx 144.4\text{ m}

  4. Round to the listed choice. 144.4 m144.4\text{ m} is closest to 144 m144\text{ m}, so the answer is A.

  5. Sanity-check the size. In one full second the plane covers about 289 m289\text{ m}, roughly three football pitches; half of that is about 144 m144\text{ m}, which confirms the order of magnitude.

Answer

s=10403.6×0.5144 ms=\frac{1040}{3.6}\times 0.5\approx 144\ \text{m}

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