Question

A sailboat floats in a current that flows due north at 5 m/s. Due to a wind, the beat's actual speed relative to shore is 5√3 m/s in a direction 60° north of east. Find the speed and direction of the wind

Let c represent the current, this means that e is the speed of the moving water and e points in the direction of the moving. water. Assume that the vector w gives the speed and direction of the wind and the vector v, gives the speed and direction of the sailboat relative to the shore. Which equation below represents win terms of c and v?
A. w=v-2•c
B. w=v+c
c. w=v-c

Answer 1

In Physics, to find the velocity of the wind when given the velocity of a boat relative to shore and the water current, the equation to use is w = v - c, representing the wind's velocity as the difference between the boat's velocity relative to shore and the current's velocity.

Step-by-step explanation:

The question addresses the concept of relative velocity, which is a key principle in Physics that applies to scenarios like navigation of sailboats. In the case presented, a sailboat is in a water current moving due north at a speed of 5 m/s and also experiences a wind that results in the sailboat's actual speed relative to shore being 5√3 m/s in a direction of 60° north of east. The equation needed to find the wind's velocity in terms of the current (c) and the velocity of the sailboat relative to the shore (v) is w = v - c. This is because the wind's velocity vector (w) would be the difference between the sailboat's velocity relative to shore and the current's velocity; visually, this can be represented in a vector diagram and solved analytically through vector components.