V. The velocity function of a particle moving along a horizontal line is given by v(t) = t² − 6t + 8, where t> 0 is in seconds. 1. Determine the time interval(s) at which the particle is speeding up and moving to the left at the same time 2. If the particle is located 1/3 unit to the left of the origin at the first instance it changes direction, find the position function of the particle.

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V. The velocity function of a particle moving along a horizontal line is given by v(t) = t² − 6t+8,
where t≥ 0 is in seconds.
1. Determine the time interval(s) at which the particle is speeding up and moving to the left
at the same time
2. If the particle is located 1/3 unit to the left of the origin at the first instance it changes
direction, find the position function of the particle.
Transcribed Image Text:V. The velocity function of a particle moving along a horizontal line is given by v(t) = t² − 6t+8, where t≥ 0 is in seconds. 1. Determine the time interval(s) at which the particle is speeding up and moving to the left at the same time 2. If the particle is located 1/3 unit to the left of the origin at the first instance it changes direction, find the position function of the particle.
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