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This is Activity 7 from the EXPLORATIONS Book: TI InterActive! Math for High School

In this activity, students learn to build a model for the total distance required to stop a moving vehicle.

Before the Activity

See the attached PDF file for detailed instructions for this activity

Print pages 59 - 63 from the attached PDF file for your class

During the Activity

Distribute the pages to the class.

Follow the Activity procedures:

Enter speed, perception-reaction distance, braking distance, and total stopping distance data as lists

Graph speed versus perception-reaction distance

Determine the type of equation that will model the graphed data

Enter speed and reaction data and use linear regression function to obtain a regression equation

Graph the regression equation and find the slope and y-intercept

Observe that the equation fits the data

Graph speed versus braking distance data

Determine the type of equation that will model the graphed data

Write the mathematical statement of the relationship between braking distance and velocity

Enter data and use quadratic regression to calculate the regression equation

Find the values of b and c in the regression equation according to the relationship equation

Write an equation for the braking distance and observe that the equation fits the graphed data

Graph total distance (braking distance + reaction distance) versus speed data

Determine the type of equation that will model the graphed data

Find the equation for total stopping distance using previous equations of perception-reaction distance and braking distance

Compare equations and see how well the equation for total distance fits the data

Use the model to predict the stopping distance of a car traveling at a given speed and also the speed of a car whose stopping distance is a specified value

After the Activity

Students complete the Student Activity sheet.

Review student results:

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