The magnitude of her velocity with respect to the shore will be 5.70 Km/h. The change of displacement with respect to time is defined as velocity.
Velocity is defined as the change in displacement with respect to time. The quantity of velocity is a vector quantity. It is a component that is time-based. It is measured in meters per second.
The given data in the problem is;
Q is the magnitude of Velocity of the boat = 4.5 km/hr
P is the magnitude of Velocity of the river flowing = 3.5 km/hr
R is the resultant of velocity P and Q=?
θ is the angle between the two velocities = 90°
From the law of vector addition;
Hence the magnitude of her velocity with respect to the shore will be 5.70 Km/h.
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Answer: The magnitude of her velocity ( v ) with respect to the shore is 5.70 km/h.
Explanation:
Magnitude of Velocity of the boat = Q
Magnitude of Velocity of the river flowing = P
R = Resultant velocity due to velocity of boat and velocity of river.
Applying Law of triangles of vector addition :
From the figure attached:
P = 3.5 k/h, Q = 4.5 km/h
The magnitude of her velocity ( v ) with respect to the shore is 5.70 km/h.