# Activities

• • • ##### Subject Area

• Math: Precalculus: Trigonometry (Triangle and Circular Functions)
• Science: Physics: Kinematics

• ##### Author 9-12

60 Minutes

• ##### Device
• TI-89 / TI-89 Titanium
• TI-92 Plus / Voyage™ 200

TI Connect™

• ##### Accessories

TI Connectivity Cable

• ##### Report an Issue

Kinematics Investigation

#### Activity Overview

In this activity, students solve trigonometric equations and investigate kinematics. They calculate and graph the displacement, velocity, and acceleration of trigonometric functions.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 1 - 4 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

• Enter equations of trigonometric functions and graph a plot
• Solve the equations over a given domain
• Find the point(s) of intersection of the graphs
• Calculate the period, amplitude, and the vertical shift of the graphs
• Sketch graphs for one period and label the intercepts and turning points
• Determine the maximum and minimum points
• Find the equation of the tangent to a curve at a given point
• Study the Simple Harmonic Motion

• Find the displacement, velocity, and acceleration of a particle traveling in a straight line
• Interpret the graphs of displacement time, velocity time, and acceleration time
• #### After the Activity

Students answer the questions on the activity sheet.

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary