A two-dimensional flow field is defined by u = (0.25x) m/s and v = (2t) m/s, where x is in meters and t is in seconds. Determine the position (x, y) of a particle when t = 2 s if the particle passes...

A two-dimensional flow field is defined by u = (0.25x) m/s and v = (2t) m/s, where x is in meters and t is in seconds. Determine the position (x, y) of a particle when t = 2 s if the particle passes through point (2 m, 6 m) when t = 0.

A two-dimensional flow field is defined by u = (2x²) m/s and v = (8y) m/s, where x and y are in meters. Determine the equation of the streamline passing through the point (2 m, 3 m).