Physics

posted by .

You have a boat that is capable of moving at 10.4 m/s through still water. You wish to cross a river that flows due west at 2.8 m/s. At what numerical compass heading must you pilot your boat so that you will reach a destination that is due south of your current position?

  • Physics -

    well, you have to go upstream at an angle of arcSin(2.8/10.4) from the normal. Draw the figure, and think out why this is so.

  • Physics -

    -2.8 + Vb = -10.4i.
    Vb = 2.8 - 10.4i. = 10.8m/s[-74.9o] = 74.9o S. of E. = 15.1o E. of S.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A 200-m-wide river flows due east at a uniform speed of 2.0 m/s. A boat with a speed of 8.0 m/s relative to the water leaves the south bank pointed in a direction west of north. What are the (a) magnitude and (b) direction of the boat’s …
  2. physics

    a boat can sail at 27 m.s in still water. the boat must cross a river that flows at 9 m.s towards the east . if the boat crosses the river by going up stream at an angle of 23 south, what will the size and angle of the resulting velocity …
  3. engineering science

    a boat can sail at 27 m.s in still water. the boat must cross a river that flows at 9 m.s towards the east . if the boat crosses the river by going up stream at an angle of 23 south, what will the size and angle of the resulting velocity …
  4. Physics

    You have a boat that is capable of moving at 14.5 m/s through still water. You wish to cross a river that flows due north at 5.3 m/s. At what numerical compass heading must you pilot your boat so that you will reach a destination that …
  5. Physics

    a boat crosses a 2 km wide river by starting out at the south shore and heading directly for the north shore if the river flows at 0.8 m/s and the boat can go at 1.4 m/s in still water, where on the opposite shore will the boat land?
  6. physics

    A boat must head due north across a river channel that has a current of 9 km/hr towards the west. The boat is capable of traveling at 28 km/hr in still water. If the boat heads into the current to keep its true north course, what will …
  7. Math

    A boat pilot wishes to go in a straight line across a river from the east dock to the west dock in a ferryboat that has a still water speed 8.0 knots. If the river has a Southward current of 2.5 knots, what compass heading should be …
  8. math

    A boat pilot wishes to go in a straight line across a river from the east dock to the west dock in a ferryboat that has a still water speed 8.0 knots. If the river has a Southward current of 2.5 knots, what compass heading should be …
  9. Physics (angle Vector)

    You have a boat that is capable of moving at 11.8 m/s through still water. You wish to cross a river that flows due south at 5.4 m/s. At what numerical compass heading must you pilot your boat so that you will reach a destination that …
  10. Vectors

    A boat is capable of 20 km/h in still water. You wish to cross the river downstream so that the angle the boat's push makes with the bank is 50 degrees. At what angle to the bank should the boat steer if the current is 8 km/h?

More Similar Questions