physics

a ferry is crossing a river. If the ferry is headed due north with a speed of 2.5 meters per second relative to the water and the river's velocity is 3 meters per second to the east, what will the boat's velocity be relative to earth?

  1. 👍 1
  2. 👎 0
  3. 👁 3,661
  1. X = hor. = 3m/s.
    Y = ver. = 2.5m/s.

    tanA = Y / X = 2.5 / 3 = 0.8333,
    A = 39.8 deg.

    Vb = X / cosA = 3 / cos39.8 = 3.9m/s.
    @ 39.8 deg.

    1. 👍 2
    2. 👎 10

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A river flows due east at 1.50 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 9.2 m/s due north relative to the water. (a) What is the velocity of the boat as viewed by

  2. Physics

    A ferry is crossing a river. The ferry is headed due north with a speed of 1.7 m/s relative to the water and the river’s velocity is 2.4 m/s to the east. a) What is magnitude of the boat’s velocity relative to Earth? Answer in

  3. Physics

    The captain of a boat wants to travel directly across a river that flows due east with a speed of 1.09 m/s. He starts from the south bank of the river and wants to reach the north bank by travelling straight across the river. The

  4. science

    a boat heading due north crosses a wide river with speed of 12km/h relative to the water the water in the river has a uniform speed of 5 km/h due east relative to the earth.determine the velocity of the boat relative to an

  1. trigonometry

    A plane is headed due west with an air speed of 300 mph. The wind is from the north at 80 mph. Find the bearing for the course and the ground speed of the plane.

  2. physics

    a ferry boat is sailing at 12 km/h 30 degrees west of north with respect to a river that is flowing at 6 km/h. in what direction, as observe from the shore, is the ferry boat is sailing?

  3. 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

  4. Physics

    An aeroplane's compass indicates that it is headed due to North, and it airspeed indicator shows that is moving through the air at 24 0 km/h. If there is a 100 km/h wind from west to east. In what direction should the pilot head

  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

  2. Physics

    A ferry is crossing a river. The ferry is headed due north with a speed of 2.3 m/s relative to the water and the river’s velocity is 3.4 m/s to the east. a) What is magnitude of the boat’s velocity relative to Earth? Answer in

  3. Math

    A boat is heading due north as it crosses a wide river with a velocity of 10km/hr relative to the water.the river has a velocity of 5km due east determine the velocity of the boat with respect on the river bank

  4. math(5th grade)

    A poor farmer is going to market with his faithful hungry dog, two plump geese to sell, and three bags of corn. The farmer knows that unless he is right there, the dog will eat a goose or a goose will eat some corn. Traveling

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