A particle moves along the x -axis so that at any time t≥0 its position is given by x(t)=12(a−t)2 , where a is a positive constant. For what values of t is the particle moving to the right?

Question

A particle moves along the x-axis so that at any time t≥0 its position is given by x(t)=12(a−t)2, where a is a positive constant. For what values of t is the particle moving to the right?

Answer 1

v(t) = x'(t) = - 24(a - t) > 0; a - t < 0, t > a. For t > a a particle will move to the right