Homework SourseI need all the steps 0 r 1 ball is dropped from a height of
I need all the steps....
0< r< 1;
ball is dropped from a height of 5 meters; r=0.8
bounce indefinitely to 45 meters.
0< r< 1;
ball is dropped from a height of 5 meters; r=0.8
bounce indefinitely to 45 meters.
Solution
Total distance traveled: = 5 + 5(0.8) + 5(0.8) + 5(0.8)2 + 5(0.8)2 + ... down up down up down = 5 + 2[5(0.8)] + 2[5(0.8)2] + 2[5(0.8)3] + ... = 5 + 10(0.8) + 10(0.8)2 + 10(0.8)3 + ... Looks like the pattern starts with the 2nd term... 5 + Series Sum = 5 + 10(0.8)/(1-0.8) = 5 + 40 = 45. (The ball travels a total of 45 feet!)
