In: Advanced Math
A fluid flow is defined by u = (0.4x2 + 2t) m/s and v = (0.8x + 2y) m/s, where x and y are in meters and t is in seconds.
Part A
Determine the magnitude of the velocity of a particle passing through point x = 12.8 m, y = 1 m if it arrives when t = 3 s.
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Part B
Determine the direction of the velocity of a particle passing through point x = 12.8 m, y = 1 m if it arrives when t = 3 s. Enter your answer as the angle θV, which the velocity makes with the x axis, measured counterclockwise from the positive x axis.
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Part C
Determine the magnitude of the acceleration of a particle passing through point x = 12.8 m, y = 1 m if it arrives when t = 3 s.
Part D
Determine the direction of the acceleration of a particle passing through point x = 12.8 m, y = 1 m if it arrives when t = 3 s. Enter your answer as the angle θa, which the acceleration makes with the x axis, measured counterclockwise from the positive x axis.