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Starting from one shore , you row a boat across a narrow river to the other shore The river is 35.0 m wide. As you row, the river current causes your boat to move down the river a distance of 45.0 m. What is the resultant displacement of your boat? Determine the magnitude of the displacement. 325 m 45.4 m 35.6 57.0m

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Starting from one shore , you row a boat across a narrow river to the other shore The river is 35.0 m wide. As you row, the river current causes your boat to
move down the river a distance of 45.0 m. What is the resultant displacement of your boat? Determine the magnitude of the displacement.
325 m
45.4 m
35.6
57.0m

Starting from one shore , you row a boat across a narrow river to the other shore The river is 35.0 m wide. As you row, the river current causes your boat to move down the river a distance of 45.0 m. What is the resultant displacement of your boat? Determine the magnitude of the displacement. 325 m 45.4 m 35.6 57.0m

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WesleyExpert · Tutor for 3 years

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### 57.0 m

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## Step1: Identify the given values<br />### The width of the river is 35.0 m, and the distance moved down the river is 45.0 m.<br />## Step2: Use the Pythagorean theorem to find the resultant displacement<br />### The resultant displacement is the hypotenuse of a right triangle with legs of 35.0 m and 45.0 m. Use the formula: <br />\[\text{Resultant Displacement} = \sqrt{(35.0^2 + 45.0^2)}\]<br />## Step3: Calculate the resultant displacement<br />### Substitute the values and compute:<br />\[\text{Resultant Displacement} = \sqrt{(35.0^2 + 45.0^2)} = \sqrt{(1225 + 2025)} = \sqrt{3250} \approx 57.0 \text{ m}\]<br /><br />#
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