Answer and Explanation:
Sports Definition: balance is the ability to stay upright or stay in control of body movement, and coordination is the ability to move two or more body parts under control, smoothly and efficiently. There are two types of balance: static and dynamic.
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
y = 0.22(15)² - 9.1(15) + 30 = -57
The rabbit's position vector (r) in unit vector notation is:
r = 203.5î - 57j
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 =
(-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.
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