Question

A swimmer swims perpendicular to the bank of a 20.0 m wide river at a velocity of
1.3 m/s. Suppose the river has a current of 2.7 m/s [W].

(a) How long does it take the swimmer to reach the other shore?

(b) How far downstream does the swimmer land from his intended location?

Answer 1

X = -2.7 m/s.
Y = 1.3 m/s.
Q2.

a. Tan A = Y/X = 1.3/-2.7 = -0.48148.
A = -25.7 m/s = 25.7o N. of W. = 64.3o
W. of N. = Direction.

Vr = Sqrt(X^2 + Y^2) = Sqrt(2.7^2+1.3^2)= 3.0 m/s = Resultant velocity.

Dr = Sqrt(20^2 + 41.5^2) = 46.1 m. = Resultant distance.

Dr = Vr*T = 46.1 m.
T = 46.1/Vr = 46.1/3 = 15.4 s.

b. d = 20*Tan64.3 = 41.5 m. Downstream.

Answer 2

how did you fins 41.5??

Answer 3

(2.7)(41.50)
=41.5