Description This is a simulation of a boat crossing a river. Adjust the direction the boat is aimed, the boat's velocity relative to the river, and the river's velocity relative to the earth. Press the "Run" button to watch the boat's trip across the river. Questions to answer: 1) What direction should the boat be aimed to get to the other side of the river in the least amount of time? 2) What direction does the boat need to be aimed to get to the point directly across the river? 3) If the boat is aimed directly across the river, does the speed of the river's current affect the amount of time it takes the boat to cross the river?

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Relative Velocity Problems

relative velocity problem figure 1

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The Physics Classroom has been devoted to helping students, teachers, and classrooms since the 1990s. We are as passionate about that mission now as we have ever been. If you are a teacher of Physics or Physical Science, we encourage you to use our Video Tutorial with your students. And we also encourage you to consider the use of other resources on our website that coordinate with the video. We have listed a few below to help you get started.  

Teacher Toolkits: Vectors

Curriculum Corner: Vectors and Projectiles

Calculator Pad, Vectors and Projectiles Chapter, Problems #19 - #21

Physics Interactives - River Boat Simulator

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Physics Classroom Tutorial, Vectors and Motion in Two Dimensions Chapter, Relative Velocity and River Boat Problems

IMAGES

  1. Relative Velocity and Riverboat Problems

    relative velocity and riverboat problems worksheet

  2. Relative Velocity And Riverboat Problems Worksheet Answers

    relative velocity and riverboat problems worksheet

  3. 2.7 Relative velocity and Riverboat Problems

    relative velocity and riverboat problems worksheet

  4. Relative Velocity And Riverboat Problems Worksheet Answers

    relative velocity and riverboat problems worksheet

  5. Relative Velocity and River Boat Problem

    relative velocity and riverboat problems worksheet

  6. Relative Velocity Worksheet

    relative velocity and riverboat problems worksheet

VIDEO

  1. Physics. Problem solving. 01_08

  2. Unit 1 Velocity Worksheet

  3. Constant Velocity Worksheet 5

  4. 16 September 2024

  5. SPH4U

  6. Constant Velocity Worksheet 4

COMMENTS

  1. Relative Velocity and Riverboat Problems

    This collection of pages comprise worksheets in PDF format that developmentally target key concepts and mathematics commonly covered in a high school physics curriculum. ... The Physics Classroom » Curriculum Corner » Vectors and Projectiles » Relative Velocity and Riverboat Problems.

  2. Relative Velocity and River Boat Problems

    In our problem, the 80 m corresponds to the distance A, and so the average speed of 4 m/s (average speed in the direction straight across the river) should be substituted into the equation to determine the time. time = (80 m)/ (4 m/s) = 20 s. It requires 20 s for the boat to travel across the river.

  3. PDF Mr. Cowart's Science Classroom

    a. Determine the resultant velocity of the riverboat (velocity with respect to the shore). b. If the river is 71.0 m wide, then determine the time required for the boat to cross the river. X so c. Determine the distance that the boat will travel downstream. = Suppose that the boat attempts t 1 same task of crossing the river (5.1 m/ s with ...

  4. PDF Relative Motion Practice Problems

    Relative Motion Practice Problems Solve the following problems in your notebook. Draw a diagram, show your work, and box or highlight your final answers. 1. You are riding in a boat whose speed relative to the water is 5.6m/s east. The river is flowing 1.4 m/s south. What is the resultant velocity of the boat? 2.

  5. PDF Relative Velocity and Riverboat Problems

    The riverboat is moving at 5.1 m/s with respect to the water. The water moves north with respect to the shore at a speed of 3.6 m/s. a. Determine the resultant velocity of the riverboat (velocity with respect to the shore). b. If the river is 71.0 m wide, then determine the time required for the boat to cross the river.

  6. PDF Physics 2204 Name: Unit 1 Worksheet #4 (Relative Velocities

    relative to the ground, determine: A) what direction she must point the plane in; B) the plane's resulting speed relative to the ground. 7 A physics student is driving her speedboat across a river at a velocity of 25.0 km/h [N] relative to the water, while the water is flowing at a velocity of 5.0 km/h [E] relative to the ground. Determine ...

  7. PDF Relative Velocity and Riverboat Problems

    a. Determine the resultant velocity of the riverboat (velocity with respect to the shore). b. If the river is 71.0 m wide, then determine the time required for the boat to cross the river. c. Determine the distance that the boat will travel downstream. 5. Suppose that the boat attempts this same task of crossing the river (5.1 m/s with respect ...

  8. PDF NAME: DATE: RIVERBOAT PROBLEMS

    RIVERBOAT PROBLEMS: Draw vector diagrams for each question. When you find the resultant you must include a direction (angle) for the resultant. A plane can travel with a speed of 80 mi/hr with respect to the air. Determine the resultant velocity of the plane (magnitude only) if it encounters a. 10 mi/hr headwind.(70mph) 10 mi/hr tailwind.(90mph)

  9. PDF RelativeVelocity and Riverboat Problem s Physics 50 Vectors and

    In a river, a boat moves relative to the water and the water moves relative to the shore. The result is that the resultant velocity of the boat relative to the shore is di erent than the boat's speedometer reading, due to the movement of the water that the boat is in. In the diagram below, a top view of a river is shown. The river

  10. PDF Welcome to Rod's Homepage

    9. A boat heading north crosses a wide river with a velocity of 13.5 km/hr relative to the water. The river has a uniform velocity of 2.5 km/hr due east. Determine the boat's velocity with respect to an observer on shore. 10. A plane heading due east with a velocity of 250 km/hr encounters a strong wind heading North West with a velocity of 35 ...

  11. Relative Velocity: Boat Crossing a River

    Description. This is a simulation of a boat crossing a river. Adjust the direction the boat is aimed, the boat's velocity relative to the river, and the river's velocity relative to the earth. Press the "Run" button to watch the boat's trip across the river. Questions to answer: 1) What direction should the boat be aimed to get to the other ...

  12. PDF Worksheet

    Worksheet - Relative Velocity (Answers) 1.) Speed & direction 2.) 5 ft/min & 5 ft/min West 3.) Yes, your velocity can change even when your speed is constant if your direction changes. 4.) 50 mph East 5.) 45 mph 6.) 50 mph West 7.) 5 mph East 8.) 45 mph West 9.) 0 mph (the zero vector) 10.) 110 mph East . Title: Worksheet Rel Vel _Ans_ Author:

  13. PDF Relative Velocity

    a) of the ship at a speed of 1.5 m/s. the ship, a passenger walks toward the back. at a speed of 5.0 m/s due south. Relative to. A cruise ship is traveling relative to the water. Sample Problem 2. It will take the passenger 18 s to walk a distance of 27 m on the ship.

  14. PDF Riverboat Simulator Activity KEY

    Direction: θ = 14.0° South of East. For the two sets of boat and current velocities listed above, use the Pythagorean theorem to calculate the resultant displacement of the boat in order to cross the 190-meter wide river. Show your calculations for each. case in the space below.

  15. Relative Velocity Problems

    Problem # 1. A motorcycle traveling on the highway at a speed of 120 km/h passes a car traveling at a speed of 90 km/h. From the point of view of a passenger on the car, what is the velocity of the motorcycle? Answer: 30 km/h. Problem # 2. A ball is kicked off the back of a pickup truck traveling at 50 km/h.

  16. Relative Motion

    Relative Motion - Riverboat problem. A river has a width d = 40 m. The water flows at a constant velocity vA = - 6 i (m/s) with respect to a frame of reference at rest O . A boat wants to cross the river from point A on one bank to point B on the other (see figure). The velocity vector of the boat with respect to the water is: v'B = 4 j (m/s).

  17. Vector and Projectiles

    Mission VP6: Relative Velocity and River Boats. Mission VP6 focuses on the scenario of a motorized boat crossing a river in the presence of a current. The mission consists of 37 questions organized into 9 Question Groups. You must answer one question from each Question Group to complete the mission.

  18. Relative Velocity and River Boat Problems Teacher Resources

    They provide a systematic and developmental approach to the concepts of Physics. The following will be of particular interest when teaching about relative velocity: Relative Velocity and River Boat Problems. Calculator Pad, Vectors and Projectiles Chapter, Problems #19 - #21.