Assume that the water has uniform velocity, represented above by the vector labe

Question

Assume that the water has uniform velocity, represented above by the vector labeled J. The rowing speed of the boy and a set of possible orientation of his boat are also shown. Select the direction (i.e., H, or K, or ...) in order to cross the river in the shortest time. =?

Hint --> The motion of the boat results from adding the velocity of the water to the velocity of the boat with respect to the water.

For which rowing orientation will the boy land on the opposite shore directly across from his starting position, neither upstream or downstream. =?

Select an answer for each .... below. Either Greater than, less than, or equal to...

For an observer on shore, the speed of the boat for B is .... for K
The distance traveled in crossing for B is .... for H
Time to row across for B is .... for H
Time to row across for K is .... for B
Time to row across for A is .... for H

Assume that the water has uniform velocity, represented above by the vector labeled J. The rowing speed of the boy and a set of possible orientation of his boat are also shown. Select the direction (i.e., H, or K, or ...) in order to cross the river in the shortest time. =? Hint --> The motion of the boat results from adding the velocity of the water to the velocity of the boat with respect to the water. For which rowing orientation will the boy land on the opposite shore directly across from his starting position, neither upstream or downstream. =? Select an answer for each .... below. Either Greater than, less than, or equal to... For an observer on shore, the speed of the boat for B is .... for K The distance traveled in crossing for B is .... for H Time to row across for B is .... for H Time to row across for K is .... for B Time to row across for A is .... for H

Explanation / Answer

first, not that a vector can be decomposed into orthogonal components. that is, it can be broken down into x and y components i will define the the vertical component of your drawing as the y-axis and horizontal as the x-axis based on your picture, which isn't very clear, you will need to choose the direction with the greatest x-component in order to cross the river most quickly. that looks like it would be direction F note that any component of velocity in the y- direction will either cause the boat to fight against the current or or be carried downstream so for the second part of your question, you must choose the direction which will cancel the motion due to the current, since the velocity current points upward by 2 units, the velocity of the boat must point downwards by two units in order to reduce the total velocity in the y-direction to zero, this looks like it would be K based on the discussion for the previous two parts, you should be able to answer the later ones, one technique that may help you is graphically adding the two vectors together to see what the resulting vector will look like

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