Asteady wind blows a kite due west. the kite's height above ground from horizontal position x = 0 to x = 120 ft is given by y = 150 − 1 40 (x − 50)2. find the distance traveled by the kite. (round your answer to one decimal place.)

The derivative of the vertical position is
.. y' = 2/40*(x -50)
so the integral that gives the length of the curve the kite traveled is


It is convenient to let a graphing calculator compute this integral numerically. If you want to do it analytically, a table of integrals can be handy. The indefinite integral is

This evaluates to
feet

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