A particle, initially at rest, moves along the x-axis so that it’s acceleration at any time t>0 is given by a(t)=12t^2-4. The position of the particle when t=1 is x(1)=3 A) find the values of t for which the particle is at rest.
B) write an expression for the position X(t) of the particle at any time t>or equal to 0.
C) Find the total distance traveled by the particle from t=0 to t=2.