Trusting God means that I have faith that God will support me always.
To trust God means having faith that God will give me the strength to get through hard times, inner peace when my soul is roiling, intuition to do the next right thing. It means that God is available to me 24/7, not just during crises or on Shabbat or festivals.
Sometimes I imagine God as the sole participant in that falling-back exercise, the one where a person lets go and falls back, trusting that the people behind her are going to catch. Sometimes God is the perfect mom or dad.
Developing trust in God can be tough, especially when we've been hurt or betrayed by people. But when we take a risk and realize that God isn't "people," that God is God, that's when we begin to open up a little bit and give it a shot.