A block with mass m=10kg is projected up a rough incline angled at theta=40degrees to ground with a speed of v=5m/s. Just after release, a small booster strapped to the block ignites, providing a constant thrust of T=100N as the block travels up the incline. The coefficient of friction between the block and ramp is u=0.3. If the booster cuts out at d=5m up the incline, what is the total distance that the block travels before coming to a stop?