rosa boat is padding upstream at 1.25 m/sec. and the water in the river is flowing at .50 m/sec to the banks of the river. calculate the resultant velocity
To calculate the resultant velocity, we need to use vector addition. The velocity of the boat relative to the ground is the vector sum of the boat's velocity and the velocity of the river.
Given:
Velocity of the boat relative to the ground (Vb): 1.25 m/sec
Velocity of the river (Vr): 0.50 m/sec
To calculate the resultant velocity (Vr), we can use the formula:
Vr = Vb + Vr
Substituting the given values:
Vr = 1.25 m/sec + 0.50 m/sec
Vr = 1.75 m/sec
Therefore, the resultant velocity of the boat is 1.75 m/sec.
To calculate the resultant velocity, we need to consider the velocities of both Rosa's boat and the water in the river. Since Rosa is paddling upstream, her velocity is against the direction of the water flow.
The resultant velocity is the vector sum of Rosa's velocity and the velocity of the water in the river. In this case, we need to subtract the velocity of the water in the river from Rosa's velocity because they are in opposite directions.
Given:
Velocity of Rosa's boat (upstream) = 1.25 m/sec
Velocity of the water in the river (towards the bank) = 0.50 m/sec
Resultant velocity = Velocity of Rosa's boat - Velocity of the water in the river
Resultant velocity = 1.25 m/sec - 0.50 m/sec
Resultant velocity = 0.75 m/sec
Therefore, the resultant velocity is 0.75 m/sec.