You feel no weight. While you are touching the trampoline during a bounce, its surface is pushing upward on you. Near the bottom of the bounce, you distort the trampoline's surface downward more than 10 cm. You feel particularly heavy both on your way down and your way up. You feel a strong downward fictitious force that adds to your weight and makes you feel very heavy.
Bumper cars are a popular ride at many amusement parks.
You drive about an enclosed area in a small, electrically powered vehicle. This vehicle has a large rubber bumper wrapped all the way around its exterior. Half the fun of driving a bumper car is crashing into other people's cars. When you drive forward at high speed and slam into the car in front of you, you find yourself thrown forward in your car. That change requires a backward acceleration.