If you wish to clear your progress and start from scratch, navigate to Support in the mobile app (under Settings) and tap Reset All History.
If Spider-Man is unresponsive and won't wake up, first try to power him off (press and hold the spider button for 10 seconds) and on again (press and hold the button for 3 seconds).
If Spidey is still unresponsive, you can reset him by pressing the RESET button on his foot located next to the USB port. This will restore Spidey to the factory state. Spider-Man will tell you when he's ready forset up again (it usually takes 15-20 minutes). You will not lose your progress by resetting Spider-Man.