Suppose that a particle has the following acceleration vector and initial velocity and position vectors. a(t)  = ...

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Suppose that a particle has the following acceleration vectorand initial velocity and position vectors.

a(t)  =  7 i  + 9t k,   v(0)  =  4 i − j,    r(0) =  j  +  5 k
(a)Find the velocity of the particle at time t.
(b)Find the position of the particle at timet.

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