Question

A ball is dropped vertically from a height of 100 meters. After each bounce, the ball reaches a maximum height equal to 60 percent of maximum height of the previous bounce. Write the first three terms of the sequence. Explain how you know what they are. Find the height to the nearest tenth of a meter of the ball after the eighth bounce. Show and explain your work.

Answer 1

After 1st bounce => 80(0.6) = 60
2nd Bounce. => 100(0.6)(0.6)^2 = 21.6
3rd => 100(0.6)^3 = 21.6
Final Answer: => 100(0.6)^8 = 1.67