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the position of a particle when t=0 is 9.0m and its velocity is 3.0 m/s. from...

the position of a particle when t=0 is 9.0m and its velocity is 3.0 m/s. from t=0 to t=3.5s the acceleration of a particle is a= 8 + 6t + 3t^2 + t^3 m/s^2 . From t=3.5s until it comes to rest, its acceleration is a= -8 m/s^2 . Determine the total travel time and the total distance.

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