Question

Unit Conversions:
Convert 7.71 m/s^2 to km/h^2

(Correct Answer: 1 km/h^2)

Please show all of your work!!! Thank you

Answer 1

Given : acceleration: 7.71 m/s²

Goal : Unit conversion to km/h²

Solution:

We know that , 1 km = 1000 m

And 1 m = (1/1000) km

So , converting m/s² to km/s² , we get :

7.71 m/s² = (7.71/1000) km/s² = 0.00771 km/s²

Now , we know that , 1 h = 60 min = 3600 s

1s = (1/3600) h

Now converting , km/s² to km/h² , we get:

0.00771 km/s² = [0.00771÷(1/3600)] km/h²

= 99921.6 km/h²

Answer :    7.71 m/s² = 99921.6 km/h²

Note :   1 km/h² = 7.71 × 10^-5 m/s²

And 1 m/s² = 12960 km/h²