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2. The acceleration function (in m/s 2 ) and the initial velocity are given for a particle moving along a line. a ( t )

2. The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a line.

a(t) = t + 6, v(0) = 5, 0 t 10

(a) Find the velocity at time t.

(b) Find the distance traveled during the given time interval. Give exact answer.

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