Final answer:
The mistake in the expression was not accounting for the unit conversion properly. To correct it, multiply 52.2 m/s by the conversion factor 1 min/60 s to get 0.87 m/min.
Step-by-step explanation:
The student is attempting to convert a speed from meters per second (m/s) to meters per minute (m/min), and there are mistakes in the given expression. The correct approach is to multiply the given speed in meters per second by the conversion factor that changes seconds to minutes:
\[52.2 \frac{m}{s} \times \frac{1 \ min}{60 \ s}\]
This setup ensures that the seconds unit from the original measurement and conversion factor will cancel each other out, leaving the desired unit of minutes in the denominator. The correct calculation is:
\[52.2 \frac{m}{s} \times \frac{1 \ min}{60 \ s} = 52.2 \times \frac{1}{60} \frac{m}{\cancel{s}} \times \frac{\min}{\cancel{s}} = 0.87 \frac{m}{min}\]
The correct answer is 0.87 m/min, which aligns with none of the provided options (A, B, C). Therefore, the corrected expression and result would be (D) 52.2 m/s times 1 min/60 sec = 0.87 m/min.