Physics

Vanessa can swim 3.0 m/s in still water. While trying to swim directly across a river from west to east, Vanessa is pulled by a current flowing southward at 2.0 m/s.
A) What is the magnitude of Vanessa’s resultant velocity?
B) If Vanessa wants to end up exactly across stream from where she began, at what angle to the shore must she swim upstream?

  1. 👍
  2. 👎
  3. 👁
  1. A) √(3^2+2^2) = √13

    B) Draw a diagram. cosθ = 2/3

    1. 👍
    2. 👎
  2. a. Vr = sqrt(3^2+2^2) = 3.61 m/s.

    b. Tan A = Y/X = Vc/Vs = 2/3 = 0.66666.
    A = 33.7o S. of E. due to the current.

    Direction = 33.7o N. of E. to offset the current.

    Vc = Velocity of current.
    Vs = Velocity of swimmer.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    You are standing at the edge of a slow moving river which is one mile wide and wish to return to your campground on the opposite side of the river. You can swim at 2 mph and walk 3 mph. You must first swim across the river to any

  2. physics

    You want to swim straight across a river that is 76m wide. You find that you can do this if you swim 28 degrees upstream at a constant rate of 1.7m/s relative to water. At what rate does the river flow? The angle is measure from

  3. Physics

    A river has a steady speed of 0.500 m/s.A student swims upstream a distane of 1.00 km and swims back to the starting point. If the student can swim at a speed of 1.20 m/s in still water, how long does the trip take? How much time

  4. PHYSICS

    A river is flowing from west to east at a speed of 8m/min, a man on the south bank of the river , capable of swimming at 20m/min in still water, wants to swim across the river in the shortest time. He should swim in a direction of

  1. Physics

    A swimmer, capable of swimming at a speed of 1.44 m/s in still water (i.e., the swimmer can swim with a speed of 1.44 m/s relative to the water), starts to swim directly across a 2.21-km-wide river. However, the current is 0.840

  2. Physics

    A swimmer can swim in still water at a speed of 9.31 m/s. He intends to swim directly across a river that has a downstream current of 4.35 m/s. a) How many degrees from straight across the river should he head? Let upstream be a

  3. Physics

    Veronica can swim 3.0 m/s in still water. While trying to swim directly across a river from west to east,? Veronica is pulled by a current flowing southward at 2.0m/s. a) What is the magnitude of Vernoicas resultant velocity? b)

  4. English

    1. I like swimming in the river. 2. I like to swim in the river. ------------------------------ Are both the same in meaning? 3. I like swimming in the river. 4. I like to swim in the river now. (#3 means 'generally I like

  1. science

    a man wishes to swin across a river 600 m wide. If can swim at the rate of 4 km/hr in still water and the river flows at 2 km/hr. Then in what direction must he swim to reach a point exactly opposite to the starting point bnd when

  2. Physics

    A river flows toward the East at 1.5 m/s. Steve can swim 2.2 m/s in still water. If he wishes to cross the river so that his direction is northward, what direction relative to the water must he swim?

  3. physics

    A river has a steady speed of 0.640 m/s. A student swims upstream a distance of 1.00 km and swims back to the starting point. (a) If the student can swim at a speed of 1.15 m/s in still water, how long does the trip take? (b) How

  4. Calculus

    A man can swim 2km/h in still water. Find at what angle to the bank he must head if he wishes to swim directly across a river flowing at a speed of 1km/h. I don't understand how to find that.

You can view more similar questions or ask a new question.