One of the competitors bought a 42-ounce bottle of water with her to the Olympics. She drank ⅓ of her bottle of water by the time she arrived at the competition. How much water did she drink? Show your work.

ounces
How much water does she have left over in her bottle of water? Show your work.

ounces

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)