Example 4
Convert an acceleration of $10{\mathrm{ms}}^{-2}$ to a value in ${\mathrm{kmh}}^{-2}$

Step 1 ：The acceleration is given in meters per second squared (ms^-2). We need to convert it to kilometers per hour squared (kmh^-2).

Step 2 ：To do this, we need to convert meters to kilometers and seconds to hours.

Step 3 ：1 meter = 0.001 kilometers

Step 4 ：1 second = 1/3600 hours

Step 5 ：So, we need to multiply the given acceleration by (0.001/1) for the distance conversion and by (1/3600)^2 for the time conversion.

Step 6 ：$acceleratio{n}_{m{s}^2}=10$

Step 7 ：$m_{t{o}_{km}}=0.001$

Step 8 ：$s_{t{o}_h}=0.0002777777777777778$

Step 9 ：$acceleratio{n}_{km{h}^2}=129600.0$

Step 10 ：Final Answer: The acceleration in kmh^-2 is $\boxed{{\displaystyle 129600}}$.