Differential settlement of a segment of roadway causes a small drop of
magnitude \(h\). Repairs are performed effecting a transition ramp of length \(L\)
between the two segments of the roadway. A vehicle travels at constant speed
\(v_{0}\) along a flat road when it encounters the drop. Assuming that the
driver maintains the same horizontal speed throughout his motion, determine
the vertical motion of the vehicle during and after it encounters the drop.
The vehicle never leaves the roadway and the vertical speed due to gravity is
negligible.