a ladybug flies in a straight line from (2, 7, 1) to (4, 1, 5) (with units in meters); the ladybug flies at a constant speed and the flight takes 4 seconds. (a) give a parametrization for the path the ladybug flies between the points, including domain. (b) how much distance does the ladybug travel per second?

Respuesta :

Answer:

a) 7.48 meter is the parameter for the path the ladybug flies between the points, including domain.

b) 1.87 meter distance does the ladybug travel per second

Step-by-step explanation:

This is problem from coordinate geometry and we can crack it by  few steps .

First of all , the required formula to solve it is ,

l = √ ( x₁ - x₂ )² + ( y₁ - y₂ )² + ( z₁ - z₂)²

where , x₁ , y₁ , z₁ is the coordinate of first point and x₂ , y₂ , z₂ is the coordinate of second point and l is the distance between two point .

Here x₁ = 2 , y₁ = 7 , z₁ = 1

and x₂ = 4 , y₂ = 1 , z₂ = 5

Now we have to put values in the formula ,

l = √ ( 2 - 4 )² + ( 1 - 7 )² + ( 5 - 1 )²

l = √ 2² + 6² + 4²  

l = √ 4 + 36 + 16

l = √ 56 = 7.48 meter

So, the ladybug flies 7.48 meter while traveling point one to point two .

Speed taken to fly along this path is , l/t = S , where S is denoted as speed .

S = 7.48 / 4 = 1.87 meter/ second

To know more about coordinate geometry ,

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