The velocity of the boat with respect to land equals the VECTOR sum of the water velocity and the boat's speed with relative to the water.
If i and j are unit vectors East and north,
V(with respect to land) =
10 i + -5 sin30 i - 5 cos30 j
= 7.5 i - 4.33 j
Speed = sqrt[(7.5)^2 + (4.33)^2]
= 8.66 m/s
The direction is arctan(4.33/7.5)= 30 degrees South of East
A motor boat due east at 10m/s on a current moving towards S 30 degree W @ 5.0m/s. Find the resultant value of the boat and the direction.
1 answer
1 answer