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?

Question

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?

unklerhaukus · Answer

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

unklerhaukus · Answer

|dw:1326859180372:dw|

anonymous · Answer

UnkleRahukas It is an infinite series

unklerhaukus · Answer

i thought there were only 10 bounces?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

what did you get?

unklerhaukus · Answer

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

anonymous · Answer

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

unklerhaukus · Answer

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