A semi-trailer is coasting downhill along a mountain highway when its brakes fail. The driver pulls onto a runaway truck ramp that is inclined at an angle of 13.0° above the horizontal. The semi-trailer coasts to a stop after traveling 190 m along the ramp. What was the truck's initial speed? Neglect air resistance and friction.

3 answers

D = Vo^2*sin(2A)/g = 190 m.
Vo^2*sin(26)/9.8 = 190
Vo^2 = 190/sin26 = 433.4
Vo = 20.8 m/s.
CORRECTION:
Vo^2 = 9.8*190/sin26 = 4247.54
Vo = 65.2 m/s.
V^2 = Vo^2 + 2g.h
Vo^2 = V^2-2g.h
Vo^2 = 0-(-19.6)*190sin13 = 837.7
Vo = 28.9 m/s