Suppose that the acceleration a(t)a(t)a(t) of a particle at time t,t,t, is given by the formula a(t)=4t−3.a(t)=4t-3.a(t)=4t−3. If v(1)=8,f(2)=5,v(1)=8, f(2)=5,v(1)=8,f(2)=5, where v(t)v(t)v(t) and f(t)f(t)f(t) are the velocity and position function of the particle, respectively, what is the position of the particle when t=1?t=1 ?t=1?

The velocity at time ttt of a particle moving along the xxx-axis is given by the formula v(t)=8t3−9t2.v(t)=8t^3-9t^2.v(t)=8t3−9t2. If the initial position of the particle on the xxx-axis is x=9x=9x=9, what is its position when t=2?t=2 ?t=2?