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A Ford Ranger with a mass of 2430 kg is traveling at a velocity of 85 mph down a mountain road. The brakes fail and the driver elects to use a "run away" truck ramp to stop the vehicle. The ramp has an incline of 15.0 degrees. What is the minimum length the ramp must be in order for this strategy to stop the truck? Neglect friction and air resistance.

I found the KE at 1.75 x 10^6 J then set it equal to PE (mgh). This gave me a height of 73.559m. I used SOH to get a length of 284m. Is this correct?

I found the KE at 1.75 x 10^6 J then set it equal to PE (mgh). This gave me a height of 73.559m. I used SOH to get a length of 284m. Is this correct?

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