Answer only if you can answer all the three subparts 6. The function s(t) = 2t -12t, 0stS7, describes the position of a particle moving along a coordinateline, where s is in feet and t is in seconds. The velocity function is v(t) = 6t² – 24t , and the accelerationfunction is a(t) = 12t-24.A) At what times is the particle stopped?B) When is the particle speeding up? Slowing down?C) Find the total distance traveled by the particle from time t=0 to time t=7.

A) When v(t) = 0, the particle stops. This means that the particle stopped at t = 0 s and t = 4 s.…

6. The function s(t) = 2t³ -12t, 0stS7, describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. The velocity function is v(t) = 6¢² – 24t , and the acceleration function is a(t) = 12t – 24. A) At what times is the particle stopped? B) When is the particle speeding up? Slowing down? C) Find the total distance traveled by the particle from time t=0 to time t-7.

6. The function s(t) = 2t³ -12t, 0stS7, describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. The velocity function is v(t) = 6¢² – 24t , and the acceleration function is a(t) = 12t – 24. A) At what times is the particle stopped? B) When is the particle speeding up? Slowing down? C) Find the total distance traveled by the particle from time t=0 to time t-7.