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3 July, 11:44

1. Find the component form of the vector that represents the velocity of an airplane descending at a speed of 100 mph at an angle of 45° below the horizontal. (Leave answers in exact form)

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  1. 3 July, 15:38
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    Step-by-step explanation:

    The vector has a module of 100 and a angle of - 45° (negative because it is below the horizontal). So, to find its components, we need to use the sine and cosine relation of its angle:

    horizontal component = module * cos (angle)

    horizontal component = 100 * cos (-45)

    horizontal component = 70.71

    vertical component = module * sin (angle)

    vertical component = 100 * sin (-45)

    vertical component = - 70.71

    So the vector in the component form is

    The negative sign of the vertical component means its direction is downwards.
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