A particle undergoes two displacements, measured
from the positive x-axis, with counterclockwise
positive. The first has a magnitude
of 11 m and makes an angle of 67 ◦ with the
positive x axis. The resultant displacement
has a magnitude of 7.7 m directed at an angle
of 98 ◦
from the positive x axis.

Find the angle of the second displacement
(measured from the positive x axis, with counterclockwise
positive and within the limits of
to +180◦
Answer in units of ◦

  1. 👍 0
  2. 👎 0
  3. 👁 346
  1. you want (x,y) such that

    (11cos67,11sin67) + (x,y) = (7.7cos98,7.7sin98)

    Evaluate x and y, and then find θ such that tanθ = y/x

    1. 👍 0
    2. 👎 0
  2. x-comp -5.3696
    y-comp -2.5
    magnitude 5.92
    angle 335 degrees

    1. 👍 0
    2. 👎 0

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