A balloon is rising at 3.6 m/s at same time is blown by wind for 5.4 m/s from east. Find the actual velocity and direction of the balloon.

Answer 1

X = -5.4 m/s.
Y = 3.6 m/s.

Tan Ar = Y/X = 3.6/-5.4 = -0.66666
Ar = -33.7o = Reference angle.
A = -33.7 + 180 = 146.3o = Direction.

V = X/Cos A = (-5.4)/Cos146.3 = 6.49 m/s[146.3o].

Answer 2

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