Q15. 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 = 2.1 ft/s, with direction shown in the image. The man can swim at a speed Vm/r = 5.2 ft/s in still water (which is the relative constant speed with respective to the flowing water). If the distance d = 52 ft, determine the magnitude of the man's absolute speed vm (with the effect of the flowing water) so 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, and proper unit. Vr 40 ft d B d Vm/r Vr Ez 40 ft V m B

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Q15. 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 = 2.1 ft/s, with direction shown in the image. The man
can swim at a speed Vm/r = 5.2 ft/s in still water (which is the relative constant speed with respective to the flowing water). If the
distance d = 52 ft, determine the magnitude of the man's absolute speed Vm (with the effect of the flowing water) so 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, and proper unit.
Answer:
Vr
40 ft
d
B
40 ft
A
Vm/r
d
Vr
Vm
B
Transcribed Image Text:Q15. 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 = 2.1 ft/s, with direction shown in the image. The man can swim at a speed Vm/r = 5.2 ft/s in still water (which is the relative constant speed with respective to the flowing water). If the distance d = 52 ft, determine the magnitude of the man's absolute speed Vm (with the effect of the flowing water) so 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, and proper unit. Answer: Vr 40 ft d B 40 ft A Vm/r d Vr Vm B
Expert Solution
Step 1

Given that,

width of the river is w=40ft

The distance from the other end to the point where the man reached on the other side is d=52ft

The constant velocity of the river is vr=2.1ft/s

The velocity of a swimmer with respect to the river is vm/r=5.2ft/s

 

Assuming the vertical axis (from the starting point to the other ends) is y and the horizontal (towards the downflow) is the x-axis,

Let the swimmer makes an θ angle from the vertical towards the downstream. and the actual velocity of the swimmer makes an angle φ from the vertical

Advanced Physics homework question answer, step 1, image 1

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