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A river flows due east at 1.70 m/s. Aboat crosses the river from the south shore

ID: 1735744 • Letter: A

Question

A river flows due east at 1.70 m/s. Aboat crosses the river from the south shore to the north shore bymaintaining a constant velocity of 9.0m/s due north relative to the water. (a) What is the velocity of the boat relativeto shore?
1 m/s
2° (north of east)

(b) If the river is 250 m wide, howfar downstream has the boat moved by the time it reaches the northshore?
3 m (a) What is the velocity of the boat relativeto shore?
1 m/s
2° (north of east)

(b) If the river is 250 m wide, howfar downstream has the boat moved by the time it reaches the northshore?
3 m

Explanation / Answer

when the boat is crossing the river v=[81+1.7*1.7]1/2 =9.10m/sec also tan=1.7sin90/9+1.7cos90=1.7/9=> =10.690 solving we will get the value of v the time taken by the boat to reach the otherend 250/9=27.77sec in this drag towards down stream=1.7*27.77=47.22m

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