A St≤ 4. The velocity of the particle is given by v(t): sin(e¯/). A At time =0, the particle is 2 units to the right of the origin. (a) During what time intervals on [0, 4] is the particle traveling to the left? 2? (b) Find the average velocity of the particle from 0 ≤ 1 ≤ 4. (c) Is the speed increasing or decreasing at timer = (d) For the time interval 01≤4, what is the farthest distance to the right that the particle travels from the origin?

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A particle travels along the x-axis for times 0 st≤ 4. The
velocity 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 traveling
to 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 farthest
distance to the right that the particle travels from the origin?
Transcribed Image Text:2 / At A particle travels along the x-axis for times 0 st≤ 4. The velocity 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 traveling to 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 farthest distance to the right that the particle travels from the origin?
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