**Problem 10: Determining Plane Speed Relative to Ground**The captain of a small plane starts his journey by proceeding east. The speed of the plane with respect to still air is 160 km/h. A sudden north wind starts to blow at a constant speed of 71.0 km/h. What is the speed of the plane relative to the ground if no action is taken by the pilot?**Answer:**To find the speed of the plane relative to the ground, we need to use vector addition to combine the speed of the plane and the speed of the wind. - The plane's velocity with respect to still air is 160 km/h east.- The wind's velocity is 71.0 km/h north.Since these two vectors are perpendicular to each other (east and north), we can use the Pythagorean theorem to find the resultant speed \( V_r \) of the plane relative to the ground. The formula to find the resultant speed is:\[ V_r = \sqrt{(V_{\text{plane}}^2 + V_{\text{wind}}^2)} \]Where:- \( V_{\text{plane}} \) is the speed of the plane with respect to still air.- \( V_{\text{wind}} \) is the speed of the wind.Plugging in the given values:\[ V_r = \sqrt{(160^2 + 71^2)} \]\[ V_r = \sqrt{(25600 + 5041)} \]\[ V_r = \sqrt{30641} \]\[ V_r \approx 175 km/h \]Therefore, the speed of the plane relative to the ground is approximately 175 km/h.**Answer: 175 km/h**

GivenSpeed of the plane with respect to still air in east direction, vP→=160 i^ km/hSpeed of wind in…

The captain of a small plane starts his journey by proceeding east. The spee km/h. A sudden north wind starts to blow at a constant speed of 71.0 km/h he ground if no action is taken by the pilot? £60

The captain of a small plane starts his journey by proceeding east. The spee km/h. A sudden north wind starts to blow at a constant speed of 71.0 km/h he ground if no action is taken by the pilot? £60

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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