3. A ball is dropped initially from a height of 1.2 m. The rebound from the floor is 3/5 of the previous height. (a) Find the height to which the ball rises at the 2nd bounce.
(b) Find the total distance that the ball has travelled when it hits the floor for the tenth time.
(c) Assuming that the ball continues to bounce in the same way indefinitely, find the total distance that the ball travels.

Step-by-step explanation:

Let the height above which the ball is released be  H  

This problem can be tackled using geometric progression.

The  nth  term of a Geometric progression is given by the above, where  n  is the term index,  a  is the first term and the sum for such a progression up to the  Nth  term is

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step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.