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(Solved): A sailboat floats in a current that flows due north at 6m/s. Due to a wind, the boat's actual spe ...



A sailboat floats in a current that flows due north at \( 6 \mathrm{~m} / \mathrm{s} \). Due to a wind, the boats actual spe
A sailboat floats in a current that flows due north at . Due to a wind, the boat's actual speed relative to shore is in a direction north of east. Find the speed and direction of the wind. Let represent the current; this means that is the speed of the moving water and points in the direction of the moving water. Assume that the vector gives the speed and direction of the wind and the vector gives the speed and direction of the sailboat relative to the shore. Which equation below represents in terms of and ? A. B. C. D. The speed of the wind is in the direction of


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Here we have given :



(a) answer
Here , the sailboat moves under both the velocities of wind and the current . So    is the the resultant velocity of    and   , so we have :


So option (A) is the correct option here .

The concept of relative velocity is commonly used to analyze the motion of objects in relation to each other, especially when there are multiple moving objects involved. To understand how it applies to a sailboat, let's consider an example where a sailboat is moving in a body of water.
Relative velocity refers to the velocity of an object as observed from the perspective of another object. In the case of a sailboat, we can think of its velocity in relation to the water and the wind.


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