Jethro used dimensional analysis to convert one rate of speed to another. Two of the conversion factors he used are 5280 ft/1 mi

Question

2 years ago

10

and 1 hr/60 min. What could be the units of the initial rate of speed and the final rate of speed? Justify your answer.

1 answer:

NNADVOKAT [17] · Answer 1 · 2022-08-18T19:45:59+03:00

The units of the initial and final rates of speed are;

Initial rate of Speed = ft/hr

Final rate of speed = mi/min

5280 ft/1 mi and 1 hr/60 min

5280 ft mile is equivalent to 1 mile

This means that the initial distance unit used was ft while the final one was mile

Also, 1 hr/60 min denotes that;

1 hour is equivalent to 60 minutes.

This means that the initial time units used was hour while the final one was minute.

In conclusion, since we know the initial time and distance units used, we can say that the initial rate of speed ft/hr while final speed rate was miles/minutes.