A particle moves according to x = t|t|. Its instantaneous velocity at t=0 is:

Question

G1 Physics · Accepted Answer

For t>0, x=t². For t<0, x=−t². At t=0, v(0) = lim[h→0] [x(h)−x(0)]/h = lim[h→0] [h|h|]/h = lim[h→0] |h| = 0. Hence the instantaneous velocity is zero.