Answer
The front of the motorcycle will rise.
Work Step by Step
When the motorcycle in in midair, there is no net torque on it. Angular momentum is conserved.
The rear wheel spins faster when it leaves the ground because there is no longer a frictional torque from the ground acting on it. The rest of the motorcycle must rotate in the opposite direction to cancel out the extra angular momentum from the faster rear wheel, and conserve angular momentum.
This means that the front of the motorcycle rises.