A particle moves along a line so that at any time t its position is given by x(t)=2pi t + cos 2pi t.
a. Find the velocity at time t.
b. Find the acceleration at time t.
c. What are the values at t, 0<t<3 for which the particle is at rest?
d. What is the maximum velocity?
I would really appreciate your help on how to solve this problem, thanks.