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

Question

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)=6, 0≤t≤10 
(a) Find the velocity at time t. 
(b) Find the distance traveled during the given time interval.

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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) = 6, 0≤ t ≤ 10 (a) Find the velocity at time t. v(t) = 22+61 + 6t+ 6 m/s (b) Find the distance traveled during the given time