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  1. The time to cross the river is dependent upon the velocity at which the boat crosses the river. It is only the component of motion directed across the river (i.e., the boat velocity) that affects the time to travel the distance directly across the river (80 m in this case).

  2. A river is moving east at 4 m/s. A boat starts from the dock heading [latex]30^\circ[/latex] north of west at 7 m/s. If the river is 1800 m wide, (a) what is the velocity of the boat with respect to Earth and (b) how long does it take the boat to cross the river?

    • OpenStax
    • 2016
    • is the miles of sideways the miles of vertical jump across the river1
    • is the miles of sideways the miles of vertical jump across the river2
    • is the miles of sideways the miles of vertical jump across the river3
    • is the miles of sideways the miles of vertical jump across the river4
  3. We start by choosing a coordinate system with its x x-axis parallel to the velocity of the river, as shown in Figure 3.43. Because the boat is directed straight toward the other shore, its velocity relative to the water is parallel to the y y-axis and perpendicular to the velocity of the river.

  4. Phys101 Lecture 4 Relative Motion. Key point: Vector relationship among the absolute velocity, relative velocity and the velocity of the moving reference frame. Reference: 3-9. Page 1. Displacement of the object measured using a coordinate system fixed on the ground.

  5. The plane is moving straight ahead relative to the air, but the movement of the air mass relative to the ground carries it sideways. Figure 1. A boat trying to head straight across a river will actually move diagonally relative to the shore as shown.

    • is the miles of sideways the miles of vertical jump across the river1
    • is the miles of sideways the miles of vertical jump across the river2
    • is the miles of sideways the miles of vertical jump across the river3
    • is the miles of sideways the miles of vertical jump across the river4
  6. Jul 16, 2020 · Compare the directions of the flow of water, heading of the boat, and actual velocity of the boat. Example \ (\displaystyle \PageIndex {1}\): Adding Velocities - A Boat on a River. Refer to Figure \ (\displaystyle \PageIndex {4}\), which shows a boat trying to go straight across the river.

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  8. Jan 16, 2023 · A boat is traveling across a river that flows due east at \(8.50 m/s\). The compass heading of the boat is \(15.0^\circ\). Relative to the water, the boat is traveling straight forward (in the direction in which the boat is pointing) at \(11.2 m/s\).

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