Module 7 - Velocity

Introduction | Lesson 1 | Lesson 2 | Lesson 3 | Self-Test

Self Test

A ball was tossed straight up and its height was measured with a Texas Instruments CBL™. Enter the values shown in the table below into list1 and list2 of the Stats/List Editor and create a scatter plot of the data. (This data will also be used in the Quiz, so save the lists.)

 Time (sec) 0 0.08 0.16 0.24 0.32 0.4 0.48 0.56 0.64 0.72 Height (meters) 0.29 0.57 0.78 0.92 0.99 1 0.97 0.89 0.74 0.53

1. Find the average velocity from t = 0.16 to t = 0.48 and interpret the result.
2. Use the DrawSlp command to draw the line corresponding to the average velocity in Question 1.
3. Find a quadratic regression equation that fits the data, and use this function to approximate the average velocity from t = 0.16 to t = 0.161. Graph the regression equation together with the scatter plot of the data.
4. Use the DrawSlp command to draw the line corresponding to the average velocity found in Question 3.
5. Compute the symmetric difference quotient from t = 0.159 to t = 0.161 using the function found in Question 3.
6. Find the instantaneous velocity at t = 0.16 and interpret the result.