Answer :
Answer:
The acceleration expressed in the new units is [tex]114.048 Km/h^{2}[/tex]
Explanation:
To convert from [tex]m/s^{2}[/tex] to [tex]Km/h^{2}[/tex] it is necessary to remember that there are 1000 meters in 1 kilometer and 3600 seconds in 1 hour:
Then by means of a rule of three it is get:
[tex]8.8\frac{m}{s^{2}}.(\frac{1Km}{1000m}).(\frac{3600s}{1h})^{2}[/tex]
[tex]8.8\frac{m}{s^{2}}.(\frac{1Km}{1000m}).(\frac{12960000s^{2}}{1h^{2}})[/tex]
Hence, the units of meters and seconds will cancel. Notice the importance of square the ratio 3600s/1h, so that way they can match with the other units:
[tex]114.048 Km/h^2[/tex]
So the acceleration expressed in the new units is [tex]114.048 Km/h^2[/tex].