Question

Show that 1.0 m/s = 3.6 km/h. Hint: Show the explicit steps involved in converting 1.0 m/s = 3.6 km/h

Short answer

The required relation is proved below.

Step-by-step solution

Step 1:

To prove 1.0 m/s = 3.6 km/h.

unit conversion

A multi-step method used to convert measurements from one set of units to other, by multiplying with a particular numerical factor.

Step 3:

Converting meter to kilometer and second to hour, we get:

$$\begin{gathered} 1.0\frac{m}{s}=1.0\times \frac{{\displaystyle \frac{1}{1000}}km}{{\displaystyle \frac{1}{3600}}h} \\ =1.0\times \frac{3600}{1000}km/h \\ =3.6km/h \end{gathered}$$

Conclusion

Hence, we have proved, 1.0 m/s = 3.6 km/h.