Question

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

Answer 1

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

Answer 2

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.