How do you calculate the acceleration when you dont have any velocity?

First step: Convert 24kg to Newtons by multiplying by gravity, or 9.8.

You get 235.2 N

Next: F = m*a

If you draw a free body diagram, you will notice that the Net Force is equal to the Applied Force minus the Frictional Force.

Frictional Force is Ff = μ * Fn

Ff =.23 * 235.2

585 - 54.096 = 24*a

530.904 = 24*a

a = 22.121 m/s

Let me know if any of this doesn't make sense.

Use a=fnet/m where f net is the net force on the entire system and m is the mass of the entire system.