You must go into the back handspring truly believing you can do it.
Try doing it in a different area than you usually do it.
Use as much power as possible. If it feels like you have too much power, you're doing it right. When trying to learn a back handspring, YOU CAN NEVER HAVE TOO MUCH POWER.
Think less about your hands hitting the ground and think about whipping your legs over your head as quickly and forcefully as possible.
Don't get scared to hit the ground. It's there to catch you if you mess up.
When whipping your legs over, press your legs as tightly as possible together. Squeeze in your muscles and body as tightly as possible.
POINT YOUR TOES AND KEEP YOUR ANKLES TOGETHER.
Use your hands to help you push out of the handspring and into the landing.
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Focus on something else (anything) for a couple seconds, or you can go and get something to drink (water, Gatorade Powerade, etc.) and you will most likely be able to get rid of your mental block.