The river speed is 1.5 m / s. What speed relative to the water should the boat have to move

The river speed is 1.5 m / s. What speed relative to the water should the boat have to move perpendicular to the shore at a speed of 2.6 m / s relative to the shore?

Given:
V rivers = 1.5 m / s;
V = 2.6 m / s.
Find: v1.
Decision:
Let’s mentally create a triangle of three speeds. The speed of the river is parallel to the bank. A speed equal to 2.6 will, on the contrary, be perpendicular to the coast, and the speed that we need to find will be the hypotenuse between these two vectors, which we can designate the above speeds.
So we can use the Pythagorean theorem. Let’s make the equation:
V1 = root of V river ^ 2 + V.
Next, we substitute the values ​​we know, and we will find the answer.
V1 = root of 2.6 ^ 2 + 1.5 ^ 2 = 3 m / s.
Let’s convert to another number system.
3 m / s = 10.8 km / h
The text passage contains a physics problem involving the calculation of the speed of a boat relative to the water, given the speed of the river and the speed of the boat relative to the shore. The passage provides a detailed solution to the problem.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
The river speed is 1.5 m / s. What speed relative to the water should the boat have to move

The river speed is 1.5 m / s. What speed relative to the water should the boat have to move perpendicular to the shore at a speed of 2.6 m / s relative to the shore?

Given:
V rivers = 1.5 m / s;
V = 2.6 m / s.
Find: v1.
Decision:
Let’s mentally create a triangle of three speeds. The speed of the river is parallel to the bank. A speed equal to 2.6 will, on the contrary, be perpendicular to the coast, and the speed that we need to find will be the hypotenuse between these two vectors, which we can designate the above speeds.
So we can use the Pythagorean theorem. Let’s make the equation:
V1 = root of V river ^ 2 + V.
Next, we substitute the values ​​we know, and we will find the answer.
V1 = root of 2.6 ^ 2 + 1.5 ^ 2 = 3 m / s.
Let’s convert to another number system.
3 m / s = 10.8 km / h
user
The text passage contains a physics problem involving the calculation of the speed of a boat relative to the water, given the speed of the river and the speed of the boat relative to the shore. The passage provides a detailed solution to the problem.

TYPE: SINGLE_QUESTION_WITH_ANSWER