The position of a nanoparticle as a function of time is x(t)= t² - t - 6,where x is measured in meters,t is measured in seconds and t 0.When is the speed of the nanoparticle zero? A)when t = 0.5 s B)when t = 2 s C)when t = 3 s D)The speed of the nanoparticle is never zero.

Question

The position of a nanoparticle as a function of time is x(t)= t² - t - 6,where x is measured in meters,t is measured in seconds and t > 0.When is the speed of the nanoparticle zero? A)when t = 0.5 s B)when t = 2 s C)when t = 3 s D)The speed of the nanoparticle is never zero.

Quizplus · Accepted Answer

The speed of the nanoparticle is zero when its velocity is zero. The velocity of the nanoparticle is given by the derivative of its position with respect to time, which is v(t) = 2t - 1. Setting v(t) = 0 and solving for t gives t = 0.5 s.

The Position of a Nanoparticle as a Function of Time