The problem that follow involve straight-line motion. The time t is in seconds unless othe...

The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.

Problem

A boat searching for underwater archaeological sites in the Aegean Sea moves at 4 knots and follows the path r = 10θ m, where 8 is in radians. (A knot is one nautical mile, or 1852 meters, per hour.) When θ = 2π rad, determine the boat's velocity

(a) in terms of polar coordinates and

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(b) in terms of cartesian coordinates.