boat moves at 10.0 m/s relative to the water. If the boat is in a river where the current is 2.00 m/s, how fast is the boat moving relative to the ground as it travels straight across the river?

Answer:

The Boat’s Speed Relative to the Ground

The speed of the boat relative to the ground can be determined by taking into account the speed of the boat relative to the water and the speed of the current in the river. The boat’s speed relative to the ground is the sum of the boat’s speed relative to the water and the current of the river. In this case, the boat is moving at a speed of 10.0 m/s relative to the water, and the current in the river is 2.00 m/s. Therefore, the boat’s speed relative to the ground is 12.0 m/s.

Boat and Current Relationship

When the boat is traveling straight across the river, the relationship between the boat’s speed relative to the water and the speed of the current in the river can be expressed in the following equation: Boat Speed Relative to the Ground = Boat Speed Relative to the Water + Current. In this case, the boat’s speed relative to the ground is 12.0 m/s, which is the sum of the boat’s speed relative to the water (10.0 m/s) and the current in the river (2.00 m/s).

Calculating the Boat’s Speed

To calculate the boat’s speed relative to the ground, we must first calculate the speed of the boat relative to the water. This can be done by subtracting the speed of the current in the river (2.00 m/s) from the speed of the boat relative to the ground (12.0 m/s). This gives us a result of 10.0 m/s, which is the speed of the boat relative to the water. We can then add the speed of the current in the river (2.00 m/s) to the speed of the boat relative to the water (10.0 m/s) to get a result of 12.0 m/s, which is the speed of the boat relative to the ground.

Conclusion

In conclusion, the boat is moving at a speed of 12.0 m/s relative to the ground as it travels straight across the river. This speed is the sum of the boat’s speed relative to the water (10.0 m/s) and the current of the river (2.00 m/s).

boat moves at 10.0 m/s relative to the water. If the boat is in a river where the current is 2.00 m/s, how fast is the boat moving relative to the ground as it travels straight across the river?

The Boat’s Speed Relative to the Ground

Boat and Current Relationship

Calculating the Boat’s Speed

Conclusion

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