The right triangle given below was drawn using a scale factor of . Each small square on the grid has a side length of 2 inches. The length of the base of the given right triangle is inches. The height of the given right triangle is inches. Therefore, based on the given right triangle, the area of the original triangle is square inches.

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)