14. As shown in the image below, a man starts from point A, and tries to swim across a 40-ft wide river to point B on the other de, downstream at a distance d. The river flows with a constant velocity v₁ = 2.3 ft/s, with direction shown in the image. The m an swim at a speed vm/r = 4.6 ft/s in still water (which is the relative constant speed with respective to the flowing water). If the istance d = 47 ft, determine the angle (in º) necessary for the man to direct his speed so, with the river flow, he can arrive at oint B. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the ecimal point. d d B

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Q14. As shown in the image below, a man starts from point A, and tries to swim across a 40-ft wide river to point B on the other
side, downstream at a distance d. The river flows with a constant velocity v₁ = 2.3 ft/s, with direction shown in the image. The man
can swim at a speed Vm/r = 4.6 ft/s in still water (which is the relative constant speed with respective to the flowing water). If the
distance d = 47 ft, determine the angle (in º) necessary for the man to direct his speed so, with the river flow, he can arrive at
point B. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the
decimal point.
Vr
Answer:
40 ft
d
B
40 ft
Vm/r
01
d
Vm
B
Transcribed Image Text:Q14. As shown in the image below, a man starts from point A, and tries to swim across a 40-ft wide river to point B on the other side, downstream at a distance d. The river flows with a constant velocity v₁ = 2.3 ft/s, with direction shown in the image. The man can swim at a speed Vm/r = 4.6 ft/s in still water (which is the relative constant speed with respective to the flowing water). If the distance d = 47 ft, determine the angle (in º) necessary for the man to direct his speed so, with the river flow, he can arrive at point B. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Vr Answer: 40 ft d B 40 ft Vm/r 01 d Vm B
Expert Solution
Step 1

Given: The width of river is 40 ft.

           The velocity of the river is 2.3 ft/s.

           The speed of the man is 4.6 ft/s. 

           The distance d is 47 ft. 

To determine: The angle θ.

The velocity vm is 

vm=vr+vm/r

Advanced Physics homework question answer, step 1, image 1

To go to point B, the direction of vm is along AB . 

 

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