How far will the object move before it achieves a velocity


An object moves in one dimensional motion with constant acceleration (a = 5.3 m/s2). At time (t = 0 s), the object is at x= 4.3 m and has an initial velocity of vo = 3.4 m/s. How far will the object move before it achieves a velocity of v = 6.5 m/s?

Please show steps how to answer this question. Do I need to find the final time first?

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Physics: How far will the object move before it achieves a velocity
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