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Mama L [17]
2 years ago
9

►

Health
1 answer:
Veronika [31]2 years ago
5 0

Answer:

A

Explanation:

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A rabbit runs across a parking lot The coordinates of the rabbit as a function of the time t x =-0.3t^2+7.2t+28 and y = 0.22 +²
777dan777 [17]

Rabbit's position vector (r) in the unit vector is 203.5î - 57j and the magnitude and directional angle of vector (r) are 195.35m and 0.004° respectively.

Given

x = 0.3t² + 7.2t + 28

y = 0.22t² - 9.1t +30

At t = 15s

x = 0.3(15)² + 7.2(15) +28 = 203.5

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The rabbit's position vector (r) in unit vector notation is:

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The magnitude of position vector (r)

r = √x² + y²

r = √(203.5)² - (57)² =√38163.25

  =  195.35m

The directional angle of position vector (r)

tanθ = y/x = -57/203.5

θ = tan^{-1} (-57/203.5)

θ = 0.004°

Hence, rabbit's position vector (r) in the unit vector is 203.5î - 57j and the magnitude and directional angle of vector (r) are 195.35m and 0.004° respectively.

Learn more about Position vector here brainly.com/question/23922381

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