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The position of a particle moving along the x axis is given by , where x is in meters and t in seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction?

السؤال الثاني :
A particle starts from the origin at t = 0 with a velocity of 6.0i m/s and moves in the xy plane with a constant acceleration of (–2.0i + 4.0j) m/s2. At the instant the particle achieves its maximum positive x coordinate, how far is it from the origin?