Modeling with Vector Quantities — Test

Question 25 • Precalculus

A hand glider dives at 25 mph in a direction 60 degrees below horizontal. What is the component form of the velocity vector?

Answer

open paren 25 halves comma the fraction with numerator 25 square root of 3 and denominator 2 close paren

open paren negative 25 halves comma negative the fraction with numerator 25 square root of 3 and denominator 2 close paren

open paren negative 25 halves comma the fraction with numerator 25 square root of 3 and denominator 2 close paren

open paren 25 halves comma negative the fraction with numerator 25 square root of 3 and denominator 2 close paren

Explanation

The horizontal component is 25 cos(60°) = 25/2 mph. Since the glider is moving below the horizontal, its vertical component is negative: −25 sin(60°) = −25√3/2 mph. Therefore, the velocity vector is (25/2, −25√3/2), choice D.

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