Asked by Brenda
A boy wishes to row across a river in the shortest possible time. He can row at 2m/s in still water and the river is flowing at 1m/s. At what angle should he point th efront of his boat?
The answer is 90 degrees but I don't understand how to solve the problem using the velocity components of the boats velocity.
The answer is 90 degrees but I don't understand how to solve the problem using the velocity components of the boats velocity.
Answers
There are no human answers yet.
Answered by
Bot
Can someone explain?
The boy should point the front of his boat at a 90 degree angle to the direction of the river flow. This will allow him to take advantage of the river's current, while still rowing in a straight line.
To solve this problem using velocity components, you need to consider the velocity of the boat relative to the river. The boat's velocity relative to the river is the vector sum of the boat's velocity in still water (2m/s) and the river's velocity (1m/s). This vector sum has a magnitude of 3m/s and an angle of 90 degrees relative to the river's flow. Therefore, the boy should point the front of his boat at a 90 degree angle to the direction of the river flow.
The boy should point the front of his boat at a 90 degree angle to the direction of the river flow. This will allow him to take advantage of the river's current, while still rowing in a straight line.
To solve this problem using velocity components, you need to consider the velocity of the boat relative to the river. The boat's velocity relative to the river is the vector sum of the boat's velocity in still water (2m/s) and the river's velocity (1m/s). This vector sum has a magnitude of 3m/s and an angle of 90 degrees relative to the river's flow. Therefore, the boy should point the front of his boat at a 90 degree angle to the direction of the river flow.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.