2/AtA particle travels along the x-axis for times 0 st≤ 4. Thevelocity of the particle is given by v(t) = sin(e¯/).time = 0, the particle is 2 units to the right of the origin.(a) During what time intervals on [0,4] is the particle travelingto the left?2?(b) Find the average velocity of the particle from 0 ≤ 1 ≤ 4.(c) Is the speed increasing or decreasing at time t =(d) For the time interval 04, what is the farthestdistance to the right that the particle travels from the origin?

GivenA particle travels along the x-axis for times 0 ≤ t ≤ 4. The velocity of the particle is given…

Answered: A St≤ 4. The velocity of the particle…

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