An olympic gymnast is about to begin her routine. The gymnast walks onto the trampoline and begins to bounce while maintaining contact with the trampoline. The trampoline sinks to a height of 1.20 m before she is launched upwards to a maximum height before falling back down. If all heights are measured with respect to the ground, and the gymnast travelled at 8.40 m/s to propel her upwards: How high did the gymnast manage to jump in front of the judges