Based on experimental observations, the acceleration of a particle is defined by the relation a= -(0.1 + sin x/b ), where a and x are expressed in m/s2 and meters, respectively. Knowing that b = 0.8 m and that v= 1 m/s when x = 0, determine (a) the velocity of the particle when x= -1 m, (b) the position where the velocity is maximum, (c) the maximum velocity.

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Based on experimental observations, the acceleration of a particle is defined by the relation a= -(0.1 + sin x/b ), where a and x are expressed in m/s2 and meters, respectively. Knowing that b = 0.8 m and that v= 1 m/s when x = 0, determine (a) the velocity of the particle when x= -1 m, (b) the position where the velocity is maximum, (c) the maximum velocity.

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