Answer to Question #90429 in Mechanics | Relativity for AWESOME

Question

a particle moves with a displacement function S = 20t - 1/2t^2. calculate the time taken for the particle to come to rest.

Answer 1

velosiy is the desplacement derivation and equals to

$$v = 20 - 0.5(-2)t^{-3} = 20 + t^{-3}$$

so the particle will never come to rest, only at time aspirant to infinity...