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slamgirl [31]
2 years ago
5

What is the speed of a snake that moves 20 m in 5 seconds ?

Mathematics
1 answer:
pogonyaev2 years ago
7 0

The speed of the snake is 8.95 miles per hour.

Step-by-step explanation:

Step 1:

The snake travels at a speed of 20 meters in 5 seconds.

We will need to determine the distance it covered in a single second. To do that we divide the distance covered in 5 seconds by 5.

The distance covered in 1 second = \frac{20}{5} =4.

So the snake is moving at a distance of 4 meters per second.

Step 2:

To convert the speed of the snake from meters per second to miles per hour, we multiply the speed in meters per second by 2.23694.

So to attain 4 meters per second in miles per hour, we multiply it by 2.23694.

4 meters per second = 2.23694(4) = 8.94776 miles per hour.

Rounding this off, we get the speed of the snake as 8.95 miles per hour.

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Well you need to find a common denominator which 30 is the closest one. 5/6 becomes 25/30, 9/10 becomes 27/30. 27/30+ 25/30 = 52/30. To simplify that you divide by 2 to get 26/15. It is no longer divisible to a whole number after that point.
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3 years ago
when a stone falls freely, the time taken to hit the ground varies as the square root of the distance fallen. If it takes four s
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Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

t \propto y^{1/2}

t = k\cdot t^{1/2}

Where:

t - Time spent by the stone, measured in seconds.

y - Height change experimented by the stone, measured in meters.

k - Proportionality constant, measured in \frac{s}{m^{1/2}}.

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

k = \frac{t}{y^{1/2}}

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k = \frac{4\,s}{(78.4\,m)^{1/2}}

k \approx 0.452\,\frac{s}{m^{1/2}}

Then, the expression is t = 0.452\cdot y^{1/2}. Finally, if y = 500\,m, then the time is:

t = 0.452\cdot (500\,m)^{1/2}

t \approx 10.107\,s

The stone would take approximately 10.107 seconds to fall 500 meters.

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3 years ago
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Answer:

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Step-by-step explanation

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Step-by-step explanation:

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