Question

Ball 1 height - 8ft, 5 1/2ft, 4ft, 2ft, 3/4ft
Ball 2 height - 8ft, 5 3/4ft, 4 1/3ft, 2 1/2ft, and 1 ft
Ball 3 height - 8ft, 5 1/3 ft, 4 1/4ft, 2 1/3ft, 1 ft

Answer 1

What is the common ratio between the successive height values of ball 1? Ball 2? Ball 3?
How does the size of the ball affect the height the ball bounces?
What affect, if any, does the size of the ball have on the common ratio?
If ball 1 were dropped from 2 feet higher, would the common ratio be different? Explain your answer.
What is the height of each ball on the fifth bounce (i.e., Height 6)? Use the geometric sequence formula, an = a1rn – 1 and show your work.
What is the total distance of the height each ball has traveled? Use the geometric series formula, and show your work.