A ditch d = 3.00 m wide crosses a trail bike path (Fig 3.35). An upward incline of è = 18° has been built up on the approach so that the top of the incline is level with the top of the ditch. What is the minimum speed a trail bike must be moving to clear the ditch? (Add 1.4 m to the range for the back of the bike to clear the ditch safely.)
L=vₒ²•sin2α/g,
L=d+x = 3+1.4 = 4.4 m
α =18°
vₒ =sqrt(Lg/ sin2α)=
sqrt(4.4•9.8/sin36°) = 8.57 m/s