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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.)

  • physics -

    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

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