How to find the exchange rate?
two boat trip away from a buoy along the routes that make an angle of 90 degrees. The first ship is 165 meters from the buoy and the journey is as a rate of 25 feet per second. The second ship is 110 meters from the buoy and travels at a speed of 35 feet per second. Find the exchange rate the distance between the boats.
Let x and y that the movement of ships with respect to the buoy x = 25t + 165 and + 110 = 35t Let z be the distance between the two ships: z ² = x ² + y ² z = √ (x ² + y ²) = √ [(25t + 165) ² + (35t + 110) ²] z = √ [(25 ² 35 ²) ² t + 2 (25 + 35 × 165 × 110) t + (165 110 ² ²)] z = √ (1850 t ² + t + 15 950 39 325) The rate of change of distance between the boats dz / dt = (t + 15 950 3700) / 2 √ (1850 ² + t + 39 325 15 950 t) at t = 0, dz / dz = 15950 / 2 √ 39 325 = 40.22 m / s
RC44 2009 Traunsee boats are torn from buoy 1
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