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3 years ago

8

A butterfly flies from the top of a tree in the center of a garden to rest on top of a red flower at the garden's edge. The tree

is 9.0 m taller than the flower, and the garden is 17 m wide.
Determine the magnitude of the butterfly's displacement.

Express your answer using two significant figures.

2 answers:

denpristay [2]3 years ago

4 0

Answer:

R=12 m

Explanation:

I have drawn a vector form which I attached here.Please first go through that

Given Data

y (Tree Taller) = 9.0 m

x(Distance from center to edge is)= 8.5 m

To find

R(magnitude of the butterfly's displacement

)

Solution

$R=\sqrt{x^{2} +y^{2} }\\R=\sqrt{9^{2}+8.5^{2} }\\ R=12.379m$

Convert to two significant figures

R=12 m

Zielflug [23.3K]3 years ago

3 0

The butterfly takes a vertical perpendicular path equivalent to 9m and travels a horizontal distance of 17m. The net path between the two is equivalent to that of the hypotenuse, so we will apply the Pythagorean theorem.

$x=\sqrt{(9)^2+(0.17)^2}$

$x = 9.0061 \approx 9.0 m$

Therefore the magnitude of the butterfly's displacement is 9m

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Answer:

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