A University of Rochester student decided to depart from Earth after his graduation to find work on Mars. Before building a shuttle, he conducted careful calculations. A model for the velocity of the shuttle, from liftoff at t = 0 s until the solid rocket boosters were jettisoned at t = 95.4 s, is given by $$v(t) = 0.001205167 t^3- 0.085725 t^2 + 16.27 t + 8.61$$ (in feet per second). Using this model, estimate
the absolute maximum value
and absolute minimum value
of the acceleration of the shuttle between liftoff and the jettisoning of the boosters.