2. A particle moves along the x-axis so that its velocity at any time t 2 0 is given byv(t)3t – 2t + 4. when t = 2, the position of the particle is X = 5.Here is a graph of this velocity:V706050403020103ta. Using8.rectangles of equal width and left-hand endpoints, estimate the distancetraveled by the particle between t = 1 and t = 5.b. Is your answer to part a an underestimate, an overestimate, or exactly correct?c. Write a polynomial expression for the position of the particle at any time t 2 0.d. Use your expression from part c to find the total distance traveled by the particlebetween t = 1 and t = 5. (Note – your answers to a and d should be close.)

(a) Refer to the plot below : Distance travelled by the particle between t=1 to t=5 is the sum of…

Answered: 2. A particle moves along the x-axis so…

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