A community center surveys 100 members. The center asked whether the members used the gym last week and whether they used the pool last week. The community center found the results given below: 80 members used the gym last week
49 members used the pool last week
35 members used both the gym and the pool last week
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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)