1. A ball is dropped from a height of 10 feet. Each time it strikes the ground,

Question

1. A ball is dropped from a height of 10 feet. Each time it strikes the ground, it bounces up to 80% of the previous height. a.What height will the ball bounce to after it strikes the ground for the third time? b.How high will it bounce after it strikes the ground for the nth time? c.How many times does the ball need to strike the ground before its bounce is less than one inch? d.What total distance does the ball travel before it stops bouncing (This may be more difficult than it appears, so be careful)?

Explanation / Answer

Ok all that guy above me did was copy and paste an answer from yahoo answers. I hope you enjoy having the right answers from me. Here you go: A ball is dropped from a height of 10 feet. Each time it strikes the ground, it bounces up to 80% of the previous height. 7 total What height will the ball bounce to after it strikes the ground for the third time? We will use geometric series. 10(.8)^t 10(.8)^3=5.12ft How high will it bounce after it strikes the ground for the nth time? nth=10(.8)^n How many times does the ball need to strike the ground before its bounce is less than one inch? nth=10(.8)^n 1/12=10(.8)^n 1/120=?0.8?^n n=ln_0.8??(1/120) ? n=21.45 So that means after the 22nd time the ball bounces, it will bounce for less than 1 inch. What total distance does the ball travel before it stops bouncing (This may be more difficult than it appears, so be careful)? 10+10(0.8)(2)+10(0.8)^2 (2)+10(0.8)^3 (2)+?=10+?_(i-1)^???20(0.8)^t ?=90feet

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