Solving Relative Velocity Problems

12th GradePhysics45 min

Learning Objective

I can solve problems involving relative velocity in two dimensions.

Lesson Flow

Watch Video

10 min

Relative Velocity and River Boat Problems

The Physics Classroom

Guided Notes

9 min

Key concepts students will learn:

  • Relative velocity refers to the velocity of an object relative to the reference frame of the observer.

  • When a boat heads directly across a river, the resultant velocity is found by using the Pythagorean theorem to combine the boat's velocity and the river's velocity; the direction is found using trigonometry.

  • Perpendicular components of motion are independent of each other, meaning the river's southward velocity does not affect the time it takes for a boat to head eastward across the river.

Practice

14 min

8 questions • Multiple choice & Short answer

Exit Ticket

5 min

A boat travels east across a river with a velocity of 6 m/s with respect to the water. The river is flowing south at a velocity of 2.5 m/s with respect to the shore. What is the magnitude of the resultant velocity of the boat with respect to an observer on the shore? Show your work.

Teacher Guide

Get the complete package:

  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts