Here are the essential concepts you must grasp in order to answer the question correctly.
Relative Velocity
Relative velocity is the velocity of an object as observed from a particular reference frame. In this scenario, we need to determine the airplane's velocity relative to the ground, which involves combining its velocity with the wind's velocity vector. This concept is crucial for understanding how different motion vectors interact to produce a resultant velocity.
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Intro to Relative Motion (Relative Velocity)
Vector Addition
Vector addition is the process of combining two or more vectors to find a resultant vector. In this problem, we will use vector addition to combine the airplane's southward velocity with the wind's velocity, which is blowing from the southwest. This involves breaking down the vectors into their components and then summing these components to find the overall velocity.
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Vector Addition By Components
Trigonometry in Physics
Trigonometry is essential in physics for resolving vectors into their components and calculating angles. In this case, we will use trigonometric functions to determine the components of the wind's velocity vector, which is at an angle to the southward direction of the airplane. Understanding sine and cosine functions will help in accurately calculating the resultant velocity.
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