A particle moves along the x-axis at any time t is greater than or equal to 0, its position is given by x(t)=t^2-6t^2+9t-2 where x is meters and t is in seconds a. find v(t) the velocity of the particle at time t
b. for what values of t greater than or equal to 0 is the particle moving to the right?
c. find the acceleration when the particle changes direction from moving right to moving left
d. at what time is the acceleration 24m/s^2
e. is the particle speeding up or slowing down or neither at t=0? give a reason for your answer
f. find the total distance the particle has traveled when t=4 seconds