Question 1: Imagine that we are measuring rain fall with a rain gauge. It is raining at a rate of 1.25 inches per hour and after 5 hours, there are 6 inches of rain in the
gauge.
How much rain will be in the gauge in 11 hours

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)