A block with mass m = 13 kg is projected up a rough incline angled at ? = 30 degrees to the ground with a speed of v = 6.4 m/s. Just after release, a small booster strapped to the block ignites, providing a constant thrust of T = 100 N as the block travels up the incline. The coefficient of friction between the block and ramp is ? = 0.25. If the booster cuts out at d = 5 m up the incline, what is the total distance that the block travels before coming to a stop? Specify your answer in meters to 2 decimal places.