Please solve the following three problems. YOU MUST SHOW YOUR STEPS FOR FULL CREDIIT.
(a) Find the distance between (1,4) and (-2, 3)
(b) Find the distance between (-2, 9) and (-8, -3)
(c) Find the distance between (-6, 1) and (3, 1)

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)