The Position of a Nanoparticle as a Function of Time

Multiple Choice

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.What is the minimum value of the nanoparticle's position?

A) 6.00 m
B) -6.00 m
C) 6.25 m
D) -6.25 m
E) The nanoparticle does not have a minimum value for its position for t>0.