Question
A boat heads across an East-West river flowing at 3 m/s [W]. The boat starts at the South End and travels at 6 m/s [N25W].
What is the velocity (including direction) of the boat with respect to the ground?
What is the velocity (including direction) of the boat with respect to the ground?
Answers
Henry
Vbc = Vb + Vc = 6m/s[115o]
Vb - 3 = 6*cos115 + 6*sin115
Vb - 3 = -2.54 + 5.44i
Vb = 0.46 + 5.44i, Q1
Tan A = Y/X = 5.44/0.46 = 11.82609
A = 85.2o N. of E. = 4.8o W. of N. =
Direction.
Vb = Y/sin A = 5.44/sin 85.2 = 5.46 m/s.
Vb - 3 = 6*cos115 + 6*sin115
Vb - 3 = -2.54 + 5.44i
Vb = 0.46 + 5.44i, Q1
Tan A = Y/X = 5.44/0.46 = 11.82609
A = 85.2o N. of E. = 4.8o W. of N. =
Direction.
Vb = Y/sin A = 5.44/sin 85.2 = 5.46 m/s.