If you are going 45 mph, what is your speed in nm per second?

1 Answer
Feb 22, 2018

What kind of a ridiculous question is this?

Explanation:

This is an example of a bad question that should never be given to students... I will attempt to solve it anyways.

We are going at a speed of #45 \ "mph"#.

Know that, #1 \ "mph"=1.6 \ "km/h"#

So, in terms of kilometers per hour, we are going at

#45*1.6=72 \ "km/h"#

Now, we need to use the magic number #(3.6)# to convert between #"km/h"# and #"m/s"#.

#1 \ "m/s"=3.6 \ "km/h"#

Therefore, in terms of meters per second, we are going at

#72/3.6=20 \ "m/s"#

Final step is to convert meters to nanometers.

Know that, #1 \ "m"=1*10^9 \ "nm"#

So, we are going at a speed of

#20*1*10^9 \ "nm/s"=2*10^10 \ "nm/s"#