# Activities

• • • ##### Subject Area

• Science: Physics: Forces and Motion
• Science: Physics: Kinematics

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.9

• ##### Report an Issue

Two-Dimensional Motion and Vectors

#### Activity Overview

In this lesson, students will investigate two-dimensional vectors using the simulation of a boat crossing a river.

#### Objectives

• Students will measure and describe one- and two-dimensional position, displacement, speed, velocity, and acceleration over time.
• Students will graphically calculate the resultant of two or more vectors.
• Students will use the Pythagorean theorem and the tangent function to calculate the resultant of two or more vectors.

#### Vocabulary

• scalar
• vector
• x- and y-components of a vector
• magnitude of a vector

#### About the Lesson

This lesson visually shows how a vector can be expressed as two component vectors, and an animated demonstration of the addition of two perpendicular vectors.
As a result, students will:

• Investigate two-dimensional vectors.
• Explore the resultant vectors produced when two perpendicular vectors are added.
• Use these relationships to solve problems involving the motion of a boat crossing a river.