To anticipate the dip and hump in the road, the driver of a car applies her brakes to produce a uniform deceleration. Her speed is 100 km/h at the bottom A of the dip and 50 km/h at the top C of the hump, which is 120 m along the road from A. If the passengers experience a total acceleration of 3 m/s at A and if the radius of curvature af the hump at C is 150 m, calculate (a) the radius of curvature rho at A, (b) the acceleration at the inflection point B, and (c) the total acceleration at C. 60 m C 60 m 150 m
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