(a) If the position of a particle is given by `x=25t-6.0t^(3)`, where `x` is in meters and t is in seconds, when, if ever, is the particle's velocity v zero ? (b) When is its acceleration a zero ? For what time range ( positive or negative ) is a (c) negative and (d) positive ? (e) Graph `x(t), v(t)`, and a(t).

Answer

`(a) pm1.2 s` ; (b) `t=0`; (c) `t gt 0`; (d) `t lt 0`