answer: ntellectual responsibility (also known as epistemic responsibility) is a philosophical concept related to that of epistemic justification. according to frederick f. schmitt, “the conception of justified belief as epistemically responsible belief has been endorsed by a number of philosophers, including roderick chisholm (1977), hilary kornblith (1983), and lorraine code (1983).”
a separate concept was introduced by the linguist and public intellectual noam chomsky in an essay published as a special supplement by the new york review of books on 23 february 1967, entitled "the responsibility of intellectuals". chomsky argues that intellectuals should make themselves responsible for searching for the truth and the exposing of lies.example:
dx/dt = -rsinθ(dθ/dt)
second derivative of x with respect to time t:
d2x/dt2 = -rcosθ(dθ/dt)2−rsinθ(d2θ/dt2)
use calculus chain rule. θ can be differentiated with respect to time.
evaluate the second derivative at θ = 0
d2x/dt2 = -r(dθ/dt)2
dθ/dt is usually called the angular velocity, which is the rate of change of the angle θ. units used is radians/second.
w ≡ dθ/dt.
d2x/dt2 = -rw2