Answer
Yes, the car is speeding. Because $25\space m/s \gt50\space mi/h$
Work Step by Step
First, we have to convert 50 mi/h into m/s to find the speed limit in m/s
According to appendix C in this textbook, 1 mi = 1609 m, so we can multiply miles by the ratio 1609 m/mi to get meters. As well as 1 h = 3600 s, So we can use the conversion factor 3600 s/h to convert hours to seconds. Combining these two conversions gives,
$50 mi/h = (\frac{50\space mi}{h})\times(\frac{1609\space m}{mi})\times(\frac{1\space h}{3600\space s})$
$\space\space\space\space\space\space\space\space\space\space\space\space\space= \frac{80450}{3600}\space m/s$
$\space\space\space\space\space\space\space\space\space\space\space\space\space=22.35\space m/s\space (speed\space limit)$
Speed of the car = 25 m/s
25 m/s > 22.35 m/s (50 mi/h) ; Speed limit
According to this, we can say that the car is speeding
