Answer
a) 1.079$\times10^{9}km/h$
b) 1.118$\times10^{7}mi/min$
Work Step by Step
a) To convert m/s to km/h, we know that 1000m=1km, and 3600s=1h (alternatively, there are 60 minutes in an hour and 60 seconds in a minute, which can be broken down in the solution as shown). The conversion table shows:
$$\frac{2.998\times10^{8}m}{1s}\times\frac{1km}{1000m}\times\frac{60s}{1min}\times\frac{60min}{1h} =\frac{1.079\times10^{9}km}{h}$$
b) Similarly, to convert m/s to mi/min, the conversion factors are 1609m/mi and 60s/min, and a table can be set up to cancel out all but our desired terms: $$\frac{2.998\times10^{8}m}{1s}\times\frac{1mi}{1609m}\times\frac{60s}{1min}=\frac{1.118\times10^{7}mi}{min} $$
