A man roll a boat in still water at a speed of 1m/s. The man set out to roll the boat in a river from a to b. The water in the river flows at 0.5m/s in the opposite direction.Determine the violocity of the boat through the water.
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To determine the velocity of the boat through the water, we need to consider the combined effect of the boat's speed and the river's flow.
The boat's speed through the water can be calculated using the concept of relative velocity.
Relative velocity is the velocity of an object with respect to another object or reference point. In this case, we consider the river's flow as the reference point.
Since the river flows in the opposite direction of the boat, the effective velocity experienced by the boat through the water is the difference between the boat's speed and the river's flow.
Mathematically, we subtract the velocity of the river from the velocity of the boat:
Velocity through water = Speed of the boat - Velocity of the river
Given:
Speed of the boat through still water = 1 m/s
Velocity of the river = 0.5 m/s (opposite direction)
Velocity through water = 1 m/s - 0.5 m/s = 0.5 m/s
Therefore, the velocity of the boat through the water is 0.5 m/s.