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A particle moves in the xy plane, starting from the origin at t=0 with an initial...

A particle moves in the xy plane, starting from the origin at t=0 with an initial velocity having an x-component of 6 m/s and y component of 5 m/s. The particle experiences an acceleration in the x-direction, given by ax=4t m/s2. Determine the acceleration vector at any later time. Determine the total velocity vector at any later time Calculate the velocity and speed of the particle at t=5.0 s, and the angle the velocity vector makes with the x-axis. Determine the x and y coordinates of the particle at any time t and its position vector at this time.

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