Increasing the magnet's speed to 20 cm/s would likely result in an increase in the current generated in the circuit. This is because the rate at which the magnetic field changes with respect to time (dΦ/dt) is directly proportional to the induced electromotive force (EMF) and therefore the current. As the magnet moves faster, the rate of change of the magnetic flux through the coil increases, leading to a higher induced EMF and subsequently a larger current flowing through the circuit.