# math

posted by .

a ball is dropped from a height of 3m and bounces on the ground . At the top of each bounce, the ball eaches 60% of its previous height. Calculate the total distance travelled by the ball when it hits the ground for the fifth time

• math -

This is just finding the sum of the sum of the series

-3 + 6*.6 + 6*.6*.6 + ...
We subtract off the 3 because the ball didn't start from the ground, so its first hop is only the downward part.

a = 6
r = 0.6

S5 = 6 (1-.6^5)/(1-.6)
= 6(2.3056) = 13.8336
S5 - 3 = 10.8336

Check: 3 + 3.6 + 2.16 + 1.296 + 0.7776 = 10.8336

• math -

a ball is droped from a height of 30m above level ground. After each bounce it rises to three quarters of the height from which it fell. find,to the nearest metre, the total distance it has travelled when it strikes the ground for the 7th times

• math -

207.76

## Similar Questions

1. ### math

1.A ball is dropped from a height of 2.0, to a floor. After each bounce, the ball rises to 63% of its previous height What is the total vertical distance the ball has travelled after 5 bounces?
2. ### math

a ball is dropped from a height of 5m. after each bounce, the ball rises to 45% of its previous height. what the total vertical distance that the ball has travelled after it has hit the ground for for the 6th time?
3. ### Math- Check over please

A ball is dropped from a height of 3m and bounces on the ground. At the top of each bounce, the ball reaches 60% of it's previous height. Calculate the total distance travelled by the ball when it hits the ground the fifth time. Could …
4. ### math

the height that a ball bounces varies directly as the height from which it is dropped. A ball dropped from a height of 20cm bounces 16cm a) Find the height of the bounce if the ball is dropped from a height of 280cm b) Find from waht …
5. ### math

A ball is dropped from a height of 5 ft. Assuming that on each bounce the ball rebounds to one-third of its previous height, find the total distance travelled by the ball.
6. ### math

i am having difficulties figuring this out.... a ball has dropped from a height of 15m and bounces 60% of the previous height. the total distance ball travels after the 9th bounce is... i got this equation done but i do not know how …
7. ### maths

A ball is dropped from a height of 1 metre. At every bounce it travels half of the height it travelled it with the previous flight. Find the total distance travelled when the ball comes to rest.