An airplane is traveling at a fixed altitude with a negligible wind factor. The airplane is headed N 30° W at a speed of 500 miles per hour. As the airplane reaches a certain point, it encounters a wind with a velocity of 70. Vector Worksheet Answers: 1. a. v = < 180 cos 40°, 180 sin40° > w = < 40 cos 0°, 40 sin 0° > b. v + w = <177.9.. When the airplane is at the point (x;y) on this graph, its velocity with respect to land is the sum of two vectors: wind velocity (0;1), and the airplane's velocity with respect to air. The last vector has the same direction as (1 −x;−y), and its length is k. Thus (after a simple calculation) the slope of the velocity vector with respect.

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This relationship is shown in the following diagram. Vector V1 represents the effect of the plane's engine and vector V2 represents the effect of the wind. Vectorvsshowsthe actual path of the plane relative to the ground.'. Wind direction and speed v2 ~ ~ The length of vector V1 represents the plane's air speed and the direction of vector V1.. Unit 4.3 Vectors Problems. 1. Math Examples: Example #1: A plane flies 30 m/s directly south and a 60 m/s wind is blowing east. Find the magnitude and direction of the planes resultant velocity. Example #2: What is the velocity of a speed boat (from the observer on the bank) if it is crossing a river with a 5 mph downstream current and the boat.