An object traveling along the path x = (t2 – t + 1, 3t2 + 4, 2t2 + t) suddenly, at time t = 1, begins traveling in the direction of its velocity v(1) with speed ∥v(1)∥. What is its position 2 time units later? How long after time 1 will the object pass through the plane z = 23?
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