Problem 1 Denote by q (t) is the position at time t of an object moving on a line. The function q need not be a position, q may be any differentiable function. The derivative, q, of q need not be a velocity, q is just the derivative of q. Assume that q is differentiable, so that its derivative, q = q', is the velocity, v: v (t) = q(t) = q' (t) (1) Position and velocity are given, or measured, at three times, to, t1, and t2, with to v1 = v (t1) > v2 = v (t2) 2 0 (3) 0