At any instant the horizontal position of the weather balloon is defined by x = (8t) ft, where t is in seconds. If the equation of the path is y = x2/10, determine the magnitude of the velocity and acceleration when t = 2s.
For a short time, the path of the pane is described by y = (0.001x2) m. If the plane is rising with a constant velocity of 10 m/s, determine the magnitudes of the velocity and acceleration of the plane when it is at y = 100 m.
Using differentiation method to find the result.
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