SOLUTION: A swimmer aims his body North directly across a 80 m river at a velocity of 1.2 m/s. If the river is moving West at 0.7 m/s, (a) how far downstream will he land and (b) how long wi

Algebra.Com
Question 1173878: A swimmer aims his body North directly across a 80 m river at a velocity of 1.2 m/s. If the river is moving West at 0.7 m/s, (a) how far downstream will he land and (b) how long will it take him to cross the river?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A swimmer aims his body North directly across a 80 m river at a velocity of 1.2 m/s. If the river is moving West at 0.7 m/s, (a) how far downstream will he land and (b) how long will it take him to cross the river?
-----------------------
Assuming "aims his body north" means he swims facing North:
========================
If the river is moving West at 0.7 m/s
---------
Currents and wind are given as the direction they're from.
-----
It's a vector problem with a right triangle.
His speed is the hypotenuse with sides of 1.2 and 0.7
c^2 = 1.2^2 + 0.7^2
======================
Time to cross = 80/c = t
-----------------
Distance downstream = 0.7*t

Answer by ikleyn(52840)   (Show Source): You can put this solution on YOUR website!
.

In precise terms of Physics,  this passage   "A swimmer aims his body North directly across a river"

means that his velocity relative to the river's flow is directed North.



RELATED QUESTIONS

If the river is moving West at 0.7 m/s v = 𝜃 = (answered by Alan3354,ikleyn)
A man can paddle a canoe at 3.2 m/s in still water. He is canoeing in a river where the... (answered by ikleyn)
A boat is sailing towards North at 3.0 m/s across a river flowing East at 1.5 m/s. Find... (answered by ikleyn)
a river runs directly east at 1.28 miles hour. if a swimmer can swim at the rate of 1.75... (answered by Boreal)
a river runs directly east at 1.28 miles hour. if a swimmer can swim at the rate of 1.75... (answered by Alan3354)
A boat is traveling east across a river that is 112 meters wide at 8 meters per second.... (answered by ikleyn)
(1) A swimmer is capable of swimming at 1.4m/s in still water. (a) how far downstream... (answered by josgarithmetic)
Cathy rows a boat directly across a river at a constant x-velocity. The river is 200 m... (answered by Theo)
A strong swimmer is swimming in a river, upstream against the current. The river current... (answered by solver91311)