A ball is launched vertically into the air from the ground with an initial velocity of 96 ft/sec. Its height, A() in feet, as a function of time, # in seconds, is given by h(f) =96 167 Use the link below to use a Desmos applet to answer the following questions: https://www.desmos.com/calculator/meb4phs6ht Note: You will not need to perform any mathematical computations in this activity. We'll let Desmos do that work for us so we can focus on conceptually understanding the topics we've learned so far. In explanations, be sure to use whole sentences and be specific. 1. Use the sliders in the applet to find the ball's average velocity on the following time intervals. Fill in the table below, rounding values to 3 decimal places. Interval Veloci Interval Velocity 48.000 ft/s 16.000 fi/s 40.000 f/s | [2,2.5] [ 24.000 ft/s 33.600 ft/s [ [2,2.1] | 30.400 ft/s 2 [1.99,2]| 32.160 ft/s 2.0 31.840 fi/s [1.999, 2 32.060 ft/s ,2.001] | 31.984 ft/s 2. Using the table from #1 above, estimate the instantaneous velocity of the ball at time =2 seconds. Explain how you arrived at your answer based on the table and include units. What happens to the slope of the secant line when points A and B are the same? Explain why this happens. Using the applet and the same concept as in #1 and #2, determine the instantaneous velocity at the following times, including units. Keep in mind that the initial velocity was stated in the introduction and you already found the velocity at = 2. No work =3 needs to be shown. Referring to the table in #4 above, what do you notice about the velocity of the ball as time increases by one-second increments? Be specific and include units. / On Earth, objects experience a constant acceleration due to gravity of -32 \"% Explain how this constant acceleration due to gravity is apparent in the table of values from #4. Is acceleration a \"rate of change\"? Explain and include units