Time to swim across river with variable speed - Math Puzzle

The video tutorial explains how to swim across a river in a straight line by angling your swim to counteract the river's current. It involves calculating the net horizontal speed using Pythagorean theorem and integrating to find the total time taken. The final result shows that it takes approximately 0.524 hours to cross the river.

What is the main challenge when trying to swim across the river in a straight line?

• The water is too cold.

• The current is stronger on one side.

• The river is too wide.

• The river is too deep.

How can the leftover speed be calculated when swimming across the river?

• By adding the swim speed and water speed.

• By subtracting the swim speed from the water speed.

• By using the Pythagorean theorem.

• By dividing the swim speed by the water speed.

What is the purpose of integrating the square root term in the equation?

• To find the distance across the river.

• To determine the time taken to cross the river.

• To measure the water current.

• To calculate the swim speed.

What value is used for the swim speed U in the final calculations?

• 2

• 3

• 4

• 5

What mathematical function is used to solve the integral in the final step?

• Inverse sine function

• Cosine function

• Exponential function

• Tangent function