Retardation of Boat

Assuming that the retardation of a boat moving in still water is proportional to the velocity, find the distanced pass over in time t after the engine was shut off, if the boat was moving at the rate of 7 miles per hour at that time.

Answer:

    \[s=\frac{7}{k}\left(1-e^{-kt}\right)\]

Source: March, Herman W., and Wolff, Henry C. (1917). Calculus. New York: McGraw-Hill. (Question 2, p. 158)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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