The figure shows two possible paths for
negotiating an unbanked turn on a
horizontal portion of a race course. Path
− follows the centerline of the road
and has a radius of curvature #= 85 ,
while path − uses the width of the
road to good advantage in increasing the
radius of curvature to $= 200 . If the
drivers limit their speeds in their curves
so that the lateral acceleration does not
exceed 0.8, determine the maximum
speed for each path.