The function H(t) = -16t2 + 32t + 50 shows the height H(t), in feet, of a baseball after t seconds. A
second baseball moves in the air along a path represented by g(t) = 30 + 30.4t, where g(t) is the
height, in feet, of the object from the ground at time t seconds.

Part A: Create a table using integers 0 through 3 for the 2 functions. Between what 2 seconds is
the solution to H(t) = g(t) located? How do you know?

Part B: Explain what the solution from Part A means in the context of the problem.

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)