A man starts out on a trip driving his car at a constant rate of 48 mph. A man riding a motorcycle starts out on the same route 112
1
2
hours later, traveling at a constant rate of 64 mph. How long will the car have been traveling when the motorcycle catches up?

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)