Automobile skid marks The speed Vat which an automobile was traveling before the brakes were applied can sometimes be estimated from the length L of the skid marks. Assume that V is directly proportional to the square root of L. (a) Express V as a function of L by means of a formula that involves a constant of proportionality k. (b) For a certain automobile on a dry surface, L = 50 ft when V = 35 mi/hr. Find the value of k in part (a). (c) Estimate the initial speed of the automobile in part (b) if the skid marks are 150 feet long.

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