Paul throws a rock straight up into the air on Planet A. Jim throws a rock straight up into the air on Planet B. Paul's rock reaches a maximum height of 45 feet at 3 seconds after it leaves his hand. Jim's rock reaches a maximum height of 38 feet at 4 seconds after it leaves his hand. Paul's rock leaves his hand at a height of 5.4 feet, and Jim's rock leaves his hand at a height of 6 feet. The heights h of the rocks can be modeled as quadratic function in terms of time t seconds. If Paul and Jim throw the rocks at exactly the same time, what is the difference in heights of the two rocks (in feet) 6 seconds after they are thrown? Show ALL work!