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Lesson 1417 of 1524

Motion in Two and Three Dimensions

The displacement vector Δ r → gives the shortest distance between any two points on the trajectory of a particle in two or three dimensions

Practice this chapter

The displacement vector Δ r → gives the shortest distance between any two points on the trajectory of a particle in two or three dimensions The velocity vector is tangent to the trajectory of the particle

Graphically, it is a vector from the origin of a chosen coordinate system to the point where the particle is located at a specific time Instantaneous velocity gives the speed and direction of a particle at a specific time on its trajectory in two or three dimensions, and is a vector in two and three dimensions

velocity vector — vector that gives the instantaneous speed and direction of a particle; tangent to the trajectory. displacement vector — vector from the initial position to a final position on a trajectory of a particle. trajectory — path of a projectile through the air. point where the particle — located at a specific time.

Worked example

What does “velocity vector” mean in Motion in Two and Three Dimensions?

  1. 1Use the wording this chapter gives for velocity vector.
  2. 2The book says: vector that gives the instantaneous speed and direction of a particle; tangent to the trajectory.
  3. 3Do not use the meaning of displacement vector. That term means vector from the initial position to a final position on a trajectory of a particle.

Result: vector that gives the instantaneous speed and direction of a particle; tangent to the trajectory

Why. That is the meaning this chapter gives for velocity vector.

Do not swap velocity vector and displacement vector. velocity vector means vector that gives the instantaneous speed and direction of a particle; tangent to the trajectory. displacement vector means vector from the initial position to a final position on a trajectory of a particle.

Practice margin

This chapter

A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.