Unit Conversion: 5m/s^2 to Km/hr^2 & ft/hr^2

[BlueOwl]

Homework Statement

The acceleration of a particle is 5 m/s^2. What is the acceleration in Km/hr^2 and ft/hr^2?

Homework Equations

1km=1000m , 1m = 3.28 ft , 1hr=3600s

The Attempt at a Solution

ok so i have answers with calculator which is

5m/s^2 = 64800 km/hr^2 and 212598425 ft/hr^2

I tried doing it by showing the process but i couldn't get the same answer
the square parts confuse me when doing the math can anyone please show me how to do the
process of getting those answers thanks. for example :

5 x (1 meter / 1 second ^2 )
5 x( ? kilometer / ? hour^2) Like that by replacing and doing the math :D .

 

[Doc Al]

Here's an example of one way to do it:
1 m/s^2 = 1 m/(1/3600 hr)^2 = 1/(1/3600)^2 m/hr^2 = (3600)^2 m/hr^2

Just keep replacing units by their equivalent. Here, 1 sec = 1/3600 hr. When you square a quantity, square both the number and the unit.