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].

Question

What is the velocity (including direction) of the boat with respect to the ground?

Answer 1

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.