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If the acceleration of a particle is given by a(t)=2t-1 and the velocity and position at...

If the acceleration of a particle is given by a(t)=2t-1 and the velocity and position at time t=0 are v(0)=0 and S(0)=2.

1. Find a formula for the velocity v(t) at time t.

2. Find a formula for the position S(t) at time t.

3. Find the total distance traveled by the particle on the interval [0,3].

Math   Calculus   
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