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kolezko [41]
2 years ago
7

10. When a rubber ball is dropped from a height, h cm on to a flat concrete floor, it rebounds to 3 5 h cm a height of Given a r

ubber ball is dropped from a height of 120cm. Find a) the maximum height achieved by the ball after 2 bounces b) the total distance travelled by the ball when it hits the floor for 10 ^ m times. c) the total distance travelled by the ball if the ball continues to bounce in the same way indefinitely.​
Mathematics
1 answer:
Xelga [282]2 years ago
7 0

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

To find the total distance travel one has to sum over up to n=3. But there is little subtle point here. For the first bounce ( n=1 ), the ball has only travel H and not 2H. For subsequent bounces ( n=2,3,4,5...... ), the distance travel is 2×(3/4)n×H

a=2H..........r=3/4

However we have to subtract H because up to the first bounce, the ball only travel H instead of 2H

Therefore the total distance travel up to the Nth bounce is

For N=3 one obtains

D=3.625H

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Help! answer options included
lawyer [7]

Answer:

Y = [-6  6 6 -6]

Step-by-step explanation:

From the given matrices

If X - 2Y  = Z

b - 2c = a ... 1

a -2d = c ...2

4+2a = 16.... 3

a + 2b = b .... 4

From3 ;

2a = 16-4

2a = 12

a = 6

From 4;

a + 2b - b = 0

a+b = 0

a = -b

6 = -b

b  = -6

From1;

b - 2c = a

-6 - 2c = 6

-2c = 12

c = -6

also

a - 2d = c

6-2d = -6

-2d = -6-6

-2d = -12

d = 6

Hence the matrices Y = [-6  6 6 -6]

4 0
2 years ago
What does cpctc represent and when would you use it
faltersainse [42]
CPCTC represents<span> is a succinct statement of a theorem regarding </span>congruent trigonometry<span>, defined as triangles either of which is an </span>isometry of the other. <span>CPCTC states that if two or more triangles are congruent, then all of their corresponding angles and sides are congruent as well. CPCTC is useful in proving various theorems about triangles and other polygons.</span>
6 0
2 years ago
Read 2 more answers
Sum of 15, - 2 and 7 is​
ioda

Answer:

<h2>done please mark me brainliest and follow me lots of love from my heart and soul Darling TEJASWINI SINHA HERE ❤️</h2>

Step-by-step explanation:

Solution: 15/2 = 7.5

7/2 = 3.5

The smaller number = 7.5-3.5 or 4, and the larger number is 7.5+3.5 or 11. Answer.

4 0
2 years ago
If x is a positive number greater than 10, what is always true about the solution to the problem to -3 + x ?​
alexandr402 [8]

Answer:

The equation answer will always be positive

Step-by-step explanation:

3 0
2 years ago
Which statement describes the domain of the function f (x) = StartFraction 3 x Over 4 x squared minus 4 EndFraction?
Ede4ka [16]

Answer:

D

Step-by-step explanation:

i just used desmos, never touches x=1 or x=-1

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2 years ago
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