I am having problems setting up this problem. The problem says: a semitrailer is

Question

I am having problems setting up this problem. The problem says: a semitrailer is coasting downhill along a mountain highwaywhen its brakes fail. The driver pulls onto a runaway-truck rampthat is inclined at an angle of 14 degrees above the horizontal.The semitrailer coasts to a stop after traveling 154 m along theramp. what was the trucks initial speed? neglect air resistance andfriction. I am having problems setting up this problem. The problem says: a semitrailer is coasting downhill along a mountain highwaywhen its brakes fail. The driver pulls onto a runaway-truck rampthat is inclined at an angle of 14 degrees above the horizontal.The semitrailer coasts to a stop after traveling 154 m along theramp. what was the trucks initial speed? neglect air resistance andfriction.

Explanation / Answer

angle = 14 degrees distance S = 154 m iniutial speed u = 0 Accleration a = - g sin                     = - 2.37 m / s^ 2 from the relation v ^ 2 - u ^ 2 = 2aS              initial velocity of the truck   u = [v ^ 2 - 2aS ]                                                             =[ 2aS ] Since final velocity v = 0                                                            = 27 m / s

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