Math Problem Statement

  1. 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

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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