Worked out Example
Q

A displacement vector has a magnitude of 175 m and points 50° relative to the x–axis. Find the x and y components of the displacement vector ?

Solution:
  • Magnitude of the displacement vector is r = 175 m
  • Direction of r is θ = 50°
  • Magnitude of x-component,
  • rx = r cos θ = (175)(cos 50°) = 112.5 m
  • Magnitude of y-component,
  • ry = r sin θ = (175)(sin 50°) = 134.1 m