Question

If the acceleration due to gravity is 10 ms-² and the units of length and time are changed to kilometer and hour, respectively, the numerical value of the acceleration is what?

Answer 1

36 km/hour...
I think..

Answer 2

1 m = 1/1000 km = $10^{-3} km$.
1 s = $\frac{1}{3600} h$

$1 s^2 =(\frac{1}{3600} h)^2$

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

$= (3600)^2\times 10^{-3} km/h^2$

$1 m/s^2= 12960 km/h^2$

$10 m/s^2 = 10\times 12960 = 129600 \:km/h^2$