Bounce Testing and Creating a Model. George, who is the Bouncy Ball production m
ID: 1770279 • Letter: B
Question
Bounce Testing and Creating a Model. George, who is the Bouncy Ball production manager, is testing the bounce for his new production line of Bouncy Balls. He wants to create a computer model for each type of ball. In order to create the model, George must figure out the equations that model each bounce. The table shown below models the bouncing ability for two types of balls which are dropped from a height of 20 feet. Notice that each bounce of the ball represents the path of a quadratic function. Draw a scatter plot for the Type A Bouncy Ball 1) s(t) stType Type A Type B 20 20 0 0.2 18.2 182 0.4 12.8 12.8 0.613.813.8 0.8 5.8 1.0 12 3.7 9 1.2 15.4 11.7 1.4 15.8 11.7 1.6 13.4 9 1.8 8.2 3.7 2.0 2.2 7.1 6.2 2.4 11.4 7.2 2.6 12.8 5.7 2.8 11.4 1.7 3.0 7.1 3.2 Time of the ball after being dropped. (in seconds) 0 2.7 2) Draw a scatter plot for the Type B Bouncy Ball. 20 IS 2 0 Time of the ball after being dropped. (in seconds) Engaging AlgehraExplanation / Answer
3(a) Type A bouncy ball has higher elasticity, because elastic material on collision regains back it's shape and size due to elasticity.
Explanation:-
When ball moves downwards, its gravitational potential energy gets converted into kinetic energy.
During collision, some part of this kinetic energy dissipates into heat and some part is used to deform the shape of ball and elastic potential energy increases.
If ball is more elastic, this elastic potential energy again gets converted into kinetic energy again and ball gets velocity in upward direction.
3(b) By using table we can check the height up to which ball rises after first collision.
More the height after first collision implies more energy remains after collision and ball is more elastic.
3(c) larger the height in scatter plot, higher the elasticity of ball.
Also during collision, less elastic body remains in contact for larger time during collision, which can be seen in scatter plot.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.