This is a tricky mission as it requires a healthy dose of luck - but there are also some simple strategies for achieving the objective which we will outline below.
First, position the trampoline within plenty of space somewhere in your ninja's arena. Next, you want to pick the ninja up and hold him in the air to the left of the trampoline. Drag to throw him towards it so that he bounces somewhere on the trampoline and lands off to the right of it.
You can also try dropping him from higher up as this will cause him to bounce higher and give him more time to land on his feet. If he still can't land on his feet, try dropping him with less force. Once he lands successfully you will have completed the mission.