Math Problem Statement
- Solve for the resultant velocity of the vectors below:
A = 3.7m / s @0 degrees
B = 1.5m / s @38 degrees C = 6.1m / s @ 90 degrees
D = 2.2m / s @ 160 degrees
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Addition
Trigonometry
Component Method for Vectors
Formulas
Vector components: V_x = V * cos(theta), V_y = V * sin(theta)
Resultant vector magnitude: R = sqrt(R_x^2 + R_y^2)
Resultant vector direction: theta = tan^(-1)(R_y / R_x)
Theorems
Pythagorean Theorem
Trigonometric Ratios
Suitable Grade Level
Grades 10-12
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