Answer:
Dog: 3 meters per second
Cat: 4 meters per second
Step-by-step explanation:
It is given that they are running from a corner around a rectangular garden, the dog runs west and the cat runs north, after 2 seconds the distance between them is 10 meters.
This forms a right triangle, the hypotenuse being 10.
So using the Pythagorean theorem we know that:
a^2 (dog's distance traveled after 2 seconds) + b^2 (cat's distance traveled after 2 seconds) = c^2 (10^2=100)
So now we can use trial and error, therefore figuring out the measurements of the two sides of the right triangle are 6 and 8. We know that this is the distance traveled after 2 seconds so we divide both integers by 2 and get 3 and 4.
So, the dog travels 3 meters per second and the cat travels 4 meters per second.
Their speed in m/s is 3 m/s for dog and 4 m/s for cat.
This is defined as the magnitude of the rate of change of its position with time.
We were told that they ran ran from a corner around a rectangular garden, the dog runs west and the cat runs north and after 2 seconds the distance between them is 10 meters.
This depicts a right triangle where the hypotenuse being 10.
Pythagorean theorem = a² + b² = c²
= a² + b² = 100
We can deduce that the measurements of the two sides of the right triangle are 6 and 8. Since it is the distance traveled after 2 seconds, we divide both integers by 2 and get 3 and 4.
Therefore, the dog travels 3 m/s and the cat travels 4m/s.
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