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Charra [1.4K]
2 years ago
5

A cat falls out of a tree and takes 1.4 seconds to land safely on its paws on the ground how many meters did the cat fall ?

Mathematics
1 answer:
lutik1710 [3]2 years ago
7 0
To solve this, we are going to use the distance of a free fallen object: d=0.5gt^2
where
d is the distance 
g is the gravity of the Earth 9.8m/s^2
t is the time in seconds 

We know form our problem that a cat falls out of a tree and takes 1.4 seconds to land, t=1.4. Lets replace that value in our formula to find d:
d=0.5gt^2
d=0.5(9.8)(1.4)^2
d=9.604 meters 

We can conclude that the cat fell a distance of 9.604 meters.
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Step-by-step explanation:

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Step-by-step explanation:

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What’s a line equation passing through (14,-8) and (24,-3)
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4 0
3 years ago
How do you this. Explain if you can so I can learn thx
12345 [234]

Answer:

2 seconds

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Given

h = - 32t² + 64t

When the frisbee lands the height h = 0, that is

- 32t² + 64t = 0 ( multiply through by - 1 )

32t² - 64t = 0 ← factor out 32t from each term

32t(t - 2) = 0

Equate each factor to zero and solve for t

32t = 0 ⇒ t = 0

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t = 0 represents when the frisbee was thrown

and t = 2 when it lands

Hence it takes 2 seconds for the frisbee to land.

7 0
3 years ago
The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb,
NNADVOKAT [17]

Answer:

bbbb,

bbbg, bbgb, bgbb, gbbb,

bbgg, bgbg, bggb, gbgb, gbbg, ggbb,

bggg, gbgg, ggbg, gggb,

gggg

Step-by-step explanation:

3 children: bbb, bbg, bgb, gbb, bgg, gbg, ggb, ggg

4 children: bbbb, bbbg, bbgb, bgbb, gbbb, bbgg, bgbg, bggb, gbgb, ggbb, bggg, gbgg, ggbg, gggb, gggg

You need to take a methodological approach;

The 2 easiest are the possibility of all boys and all girls;

Then consider 3 boys and 1 girl:

bbbg, bbgb, bgbb, gbbb

Then 2 boys and 2 girls:

bbgg, bgbg, bggb, gbgb, gbbg, ggbb

Lastly, 1 boy and 3 girls:

bggg, gbgg, ggbg, gggb

In total, there are 16 possibilities

P.S. interesting to note is that the number of possibilities here follows the pattern of Pascal's triangle:

       1

     1   1

   1  2  1

 1  3  3  1

1  4  6  4  1

The last row is relevant here;

There is 1 possibility where there are 4 boys;

There are 4 possibilities (in terms of the order of birth) where there are 3 boys and 1 girl;

There are 6 possibilities where there are 2 boys and 2 girls

There are 4 possibilities where there is 1 boy and 3 girls;

There is 1 possibility where there are 4 girls;

The pattern ∴ is 1 4 6 4 1, as the 5th row of Pascal's triangle reads;

If your talking about 3 children, it would match the 4th row of Pascal's triangle;

So, 1 possibility of 3 boys;

3 possibilities of 2 boys and 1 girl;

3 possibilities of 1 boy and 2 girls;

And 1 possibility of 3 girls;

If your talking about 10 children, it would match the 11th row of Pascal's triangle.

(Maths can be so cool XD)

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2 years ago
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