Question

A ball is hit it with a velocity of 18 m/second toward the west with respect to the water in a river. If the river is flowing with a velocity of 2.5 m/ second in the same direction as the boat. What would be the magnitude of the both velocity?

Answer 1

The magnitude of both the ball's velocity and the river's velocity combined is 20.5 m/s toward the west, since they are in the same direction and can be directly added together.

Step-by-step explanation:

To determine the magnitude of the velocity of a ball hit toward the west with respect to the water in a river, taking into account the river flowing in the same direction as the hit, we can simply add the velocities, as they are in the same direction (collinear).

The magnitude of the ball's velocity relative to the river is 18 m/s, and the river's velocity is 2.5 m/s. The resultant or combined velocity of the ball with respect to the shore (observer) is therefore:

Velocity of the ball with respect to the shore = Velocity of the ball with respect to the water + Velocity of the river

Velocity of the ball with respect to the shore = 18 m/s + 2.5 m/s

Velocity of the ball with respect to the shore = 20.5 m/s

The magnitude of both velocities combined is 20.5 m/s toward the west.