A block with mass m = 7 kg is projected up a rough incline angled at θ = 34 degrees to the ground with a speed of v = 5.1 m/s. Just after release, a small booster strapped to the block ignites, providing a constant thrust of T = 110 N as the block travels up the incline. The coefficient of friction between the block and ramp is μ = 0.24. If the booster cuts out at d = 3 m up the incline, what is the total distance that the block travels before coming to a stop?