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. (10 points) The velocity field of a flow is given by V = 2x²tî + [4y(t-1) + 2x²t]j m/s where xand y are in meters and t is in seconds. For fluid particles on the x axis, determine the (a) speed (magnitude of the velocity) as a function of x and t (in m/s). For maximum credit, please simplify your answer algebraically. (b) direction of flow as a function of x and t (expressed as an angle with respect to the x axis). (c) For 1-1, sketch a visualization of the velocity field along the x-axis by drawing vectors thatindicate the velocity at x-1, x-2, and x-3. [Hint: focus on the direction and relative lengths of thethree vectors.]

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