A particle is mo ving along the its posi tion x-axis SUch that at any ti me t20 (in seconds) from the origin is given by 8 (t) = 2t3- 21t? +72t - 100 feet O at what time does the par ticle change dire ction (2) Determine the time in tervals when the particie is moving to the left with increading velocity (3) HoW far away is the parti Cle from its initial loc ation after moving for 10 seconds

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A: “Since you have asked multiple question, we will solve the first question for you. If you want any…