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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 6m/s. Due to a wind, the boat's actual speed relative to shore is 33m/s in a direction 60∘ north of east. Find the speed and direction of the wind. Let c represent the current; this means that ∣c∣ is the speed of the moving water and c points in the direction of the moving water. Assume that the vector w gives the speed and direction of the wind and the vector vg gives the speed and direction of the sailboat relative to the shore. Which equation below represents w in terms of c and vg ? A. w=vg−c B. w=vg−2⋅c C. w=vg D. w=vg+c The speed of the wind is in the direction of
Here we have given :(a) answerHere , 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.