## anonymous 4 years ago 8. A ball is dropped from a height of 160 cm. Each time it drops it rebounds to 80% of its previous height. b) What is the total distance travelled at the time of the 10th bounce?

1. UnkleRhaukus

$160 + \sum_{n=1}^{10} 160 \times 2 \times 0.8^n$

2. UnkleRhaukus

|dw:1326859180372:dw|

3. anonymous

UnkleRahukas It is an infinite series

4. UnkleRhaukus

i thought there were only 10 bounces?

5. anonymous

the answer is 1268.2m just so to let you guys know Im looking for a sum

6. anonymous

Sorry i calculated the total distance that it would travel it is definitely not 1268.2m

7. anonymous

what did you get?

8. UnkleRhaukus

even if it bounced 100% of original bounce you will not get a total distance greater than 21x1.6m =34m

9. anonymous

i think they meant sum find the sum of all the distances

10. UnkleRhaukus

well i dont know if i have done this correctly but i have ~$160+160 \times 2 \times 4.57$~$16.22meters$