8. An arrow shot straight up from the ground with an initial velocity of 128 feet per second by someone not thinking strategically will be at a height h(t) -16t + 128t feet after t seconds. The height profile is shown in the figure below. h(x)=-16x + 128x height (feet) time (seconds) a. Determine the velocity of the arrow when t = 2 seconds b. What is the velocity of the arrow, v(t), at any time t? c. At what time t will the velocity of the arrow equal 0? d. What is the greatest height the arrow will reach? e. How long will the arrow be aloft?