Select the correct Walter's family plays a quick game together every night after dinner. Walter draws names out of a hat to determine which kind of game to play. The family plays cards, board games, or video games. Walter draws names for three nights in a row. The probability that the family plays a different game on each of the three nights is . The probability that the family plays a video game two nights and cards one night is . The probability that the game played on the first night is played again on the third night is .

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 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)