A particular toddler has an average nap of about two hours and sleeps for 13 hours at night. Nap time and night time sleep can each vary by about 15 minutes. Write an absolute value inequality that represents the situation. What are the possible time lengths for the child's total nap and night time sleep? (Please write an absolute value inequality!)

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)