Question

Convert 30 meter per second squared to km per hour squared

Answer 1

Let's find how many of km/h^2 contains in one m/s^2:

$$1\dfrac{m}{s^2} = 1\cdot \dfrac{1m}{1s^2} = 1\cdot \dfrac{10^{-3}km}{(1/3600)^2h^2}$$

since $1m = 10^{-3}km$, and $1s = 1/3600h$. Simplifying, obtain:

$$1\dfrac{m}{s^2} = \dfrac{3600^2}{1000}\dfrac{km}{h^2} = 12960\dfrac{km}{h^2}$$

Then 30 m/s^2 will be:

$$30\dfrac{m}{s^2} = 30\cdot 12960\dfrac{km}{h^2} = 388800\dfrac{km}{h^2}$$

Answer. $388800\dfrac{km}{h^2}$.