In this adventure , students will make a Height-Time plot of a bouncing ball using the CBR 2™. They graph height as a function of time. They identify and understand the vertex form of a quadratic equation that is generated to describe the ball's motion.

Start the Ranger program and select the Ball Bounce application

Transfer files to the student calculators using the TI-Navigator™ "send to class" feature

See the attached PDF file for detailed instructions for this activity

Print pages 78 - 79 from the attached PDF file for your class

During the Activity

Distribute the pages to your class.

Follow the Adventure procedures:
Collect Data:

Set up the CBR 2 at shoulder height with a ball 0.5 meters directly below it

Release the ball and collect ball bounce height data

Plot time versus distance data

Examine any one bounce, the plot has a parabolic shape

Explore the quadratic equation that describes this motion is quadratic:y = A(x - H)^{2} + K where A affects the width of the parabola and (H, K) is the vertex of the parabola. In this activity, the control variable, x, represents time and y represents height.

Identify the vertex (H, K) of the first complete bounce and substitute the values in the equation

Use different values of A in the equation and view the graph formed

Find the value of A that best fits bounce data and write the equation of a parabolic ball bounce

Find the equation for the second bounce

Explore how as values of A increases, the parabola gets narrower and as A decreases, the parabola gets wider

Value of A for a quadratic equation of a bouncing ball is constant

TI-Navigator activity:

Load the Arch.act activity settings file

Have students submit quadratic equations that best fit the arch

After the Activity

Students analyze the results and answer the questions in the worksheet

Review student results:

As a class, discuss questions that appeared to be more challenging