hey Drakkith :)
seasons greetings to ya buddy .... have you moved ranch yet ?
.....the field is still only going to move at the speed/velocity at which the magnet is moved
bearing in mind that we are not going to be able to move it at c anyway
But I dont see where the OP was asking about moving the magnet at c, just moving it by hand or mechanically towards the coil
He/she was assuming the magnets field was suddenly appearing and moving out from the magnet at c
but of course this isnt the case, the field is present all the time