BOUNCING BALLS Math 8 Unit 5 Task The height a ball bounces (b) is directly proportional to the height of the ball drop (h) so, b=kh. The points (h,b) lie on a line. K, the bounce coefficient, is the slope of the line through the points (h,b). Different balls have different bounce coefficients. Vary the types of balls used by different student groups. Discuss the anticipated results. No ball will bounce higher than the height of its drop. The ball is to be dropped not forced at the ground. Therefore, b<h, so k<1. As long as the axes have the same units, the data points (h,b) will lie on a line rising left to right at an angle less than 45 degrees with the horizontal axis. Materials: Balls Metric tape measure Graph paper Directions: Drop the ball from various heights (h). Record the height of the first bounce (b) for each different drop height. Measure from the bottom of the ball each time. Calculate the bounce coefficient bounce/height. Plot the points (height, bounce). Drop Height (h): Bounce (b): Data Point: 1. 150cm ________ (150,____) 2. 125cm ________ (125,____) 3. 100cm ________ (100,____) 4. 75cm ________ (75,_____) 5. 50cm ________ (50,_____)
Bounce Coefficient b/h ________ ________ ________ ________ ________
Graph on a coordinate plane using bounce for the y-axis and drop for the x-axis. Choose 2 points and calculate the slope of the line: 6. Find the difference in the bounce heights.__________ 7. Find the difference in the drop heights.__________ 8. Divide the result from 6 by the result from 7._________
How does this experiment relate the our current unit on equations in two variables. You must answer this question in a paragraph with specific information and use at least 5 of the vocabulary words from this unit.