Question

A Porsche sports car can accelerate at 8.8 m/s^2. Determine its acceleration in km/h^2.

Answer 1

The acceleration expressed in the new units is
`114.048 Km/h^(2)`

Step-by-step explanation:

To convert from
`m/s^(2)` to
`Km/h^(2)` 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:

`8.8(m)/(s^(2)).((1Km)/(1000m)).((3600s)/(1h))^(2)`

`8.8(m)/(s^(2)).((1Km)/(1000m)).((12960000s^(2))/(1h^(2)))`

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:

`114.048 Km/h^2`

So the acceleration expressed in the new units is
`114.048 Km/h^2`.