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The constant speed of kayak paddler in still water is 0.5 m/s. The paddler needs to cross a 440 m wide river and arrive at the opposite side zero meters down stream from the starting point. The paddler accomplishes this by steering the craft 27 degrees upstream. Determine the crossing time in sec.Heavy rain causes the river flow rate to increase 15 %. The paddler repeats the crossing at the same speed with respect to still water and the same steering angle from Problem 10 and arrives at the opposite side some distance down stream from the starting point. How far downstream is this landing?

Question

The constant speed of kayak paddler in still water is 0.5 m/s. The paddler needs to cross a 440 m wide river and arrive at the opposite side zero meters down stream from the starting point. The paddler accomplishes this by steering the craft 27 degrees upstream. Determine the crossing time in sec.

Heavy rain causes the river flow rate to increase 15 %. The paddler repeats the crossing at the same speed with respect to still water and the same steering angle from Problem 10 and arrives at the opposite side some distance down stream from the starting point. How far downstream is this landing?

check_circleAnswer
Step 1
Velocity of the kayak paddlen in still oaten is Vz o-5ms
ktidth of the yüven - 44om.
Jt ts gluen that the paddler teaches eracty
oposi te end
To rach exacty
On the
opposite end veloety of the padden
eloaty of the
on
in upstream direction shou be same as
siver in doun stream
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Velocity of the kayak paddlen in still oaten is Vz o-5ms ktidth of the yüven - 44om. Jt ts gluen that the paddler teaches eracty oposi te end To rach exacty On the opposite end veloety of the padden eloaty of the on in upstream direction shou be same as siver in doun stream

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Step 2
o5mls
,0SCas(27
4 40m
o 5 sin27
for 2ro drit+
05 sin 2t
= .22t ms
Veloaty ot the rdven 2 0.12 mls
CYossing ime
98t 64 seconds
C5) Cos(2
help_outline

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o5mls ,0SCas(27 4 40m o 5 sin27 for 2ro drit+ 05 sin 2t = .22t ms Veloaty ot the rdven 2 0.12 mls CYossing ime 98t 64 seconds C5) Cos(2

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Step 3
Jf veloaty of flow increases by (5T. ,then cw uetauily
the incveased velocity will cause the dritt
1S C0227
O -26
1
Veloaty of Yiven in down streanz 0261 mls
Nelooity ot padd (ea In upstreamz 0.5 sin27 0-227ms
Veloa ty tresponsi ble for dhift
6.034 mls
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Jf veloaty of flow increases by (5T. ,then cw uetauily the incveased velocity will cause the dritt 1S C0227 O -26 1 Veloaty of Yiven in down streanz 0261 mls Nelooity ot padd (ea In upstreamz 0.5 sin27 0-227ms Veloa ty tresponsi ble for dhift 6.034 mls

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