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Question: using the table please complete 119 questions thank you...

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Using the table, please complete 1-19 questions. Thank you

Time (in seonds Height (in feet) 0.09003 2 0.02 0.29529 0.04 0.48974 0.06 0.6698 0.079996 0.83905 0.099996 0.99749 0.119996 1.14154 0.139996 127118 0.159999 1.39001 0.179995 1.49444 0.199989 1.59527 0.219979 1.67809 0.239969 1.74291 0.259969 1.80053 0.279959 1.84374 0.299959 1.86895 0.319949 1.89056 0.339949 1.89056 0.359949 1.88336

0.379939 1.86175 0.399939 1.82934 0.419939 1.78253 0.439939 1.72491 0.459929 1.64569 0.479919 1.56286 0.499919 1.46563 0.519919 1.3504 0.539909 1.23156 0.559899 1.09832 0.579889 0.95068 0.599879 0.78503 0.619869 0.61218 0.639869 0.42493 0.659869 0.22327 0.679869 For example, if you read the table, the ball was at a height of 0.09003 feet at time zero (the time was reset when I flipped the graph over). The ball was at a height of 0.29529 feet at 0.02 seconds and so on.

Question 1: Enter the data from the table into the lists on your calculator (for a little less accurate answer, you can enter every other data point if you wish). Use the quadratic regression feature on your calculator to find the equation of the best fit parabola for the height of the ball, h(t) Equation: For a good check, do a STAT PLOT of the data points and then graph the regression equation on top of your data to make sure it really is a good fit C. Using the Equation Question 2: What are the units for t and h(t)? Question 3: IfI write h(0.5) 1.5, what would that be telling me? Question 4: Even though it isnt in the table, how could you determine how high the ball is at exactly time 0.4 seconds? Go ahead and do it and tell me the height. Question 5: IfI wanted to know the time when the ball was at a height of 1 foot, how would I do that? Go ahead and do it and tell me the time(s). Question 6: Find an equation that would give the instantaneous velocity at any time t. Question 7: What would the units of h (t) be? Question 8: If your equation gave h / (0.1) = 0.2 , what would that mean? Question 9: Determine the velocity of the ball at time t 0.2 seconds. Question 10: Determine when the velocity of the ball was 10 ft/s.

Sketch a graph of your original height function and your new velocity function on the same set of axes. It should help confirm you found the right velocity function. Think about how the velocity graph corresponds to the graph of the original data. Focus on things such as when the ball is rising, it has positive velocity, so the velocity graph is above the x-axis, etc.) Question 11: At what point on the path of the ball is the velocity zero? Question 12: What does it mean for a velocity to be negative? Question 13: Use your velocity equation to determine (algebraically) at what time the ball reaches the maximum height. Question 14: Use the answer from question 13 and algebraically determine how high the ball went. Question 15: Acceleration is the rate of change of velocity with respect to time. Therefore, acceleration can be found by differentiating velocity. What is the acceleration equation in this problem? (Your answer tells you the acceleration due to Earths gravity.) Question 16: When did the ball hit the ground? Question 17: With what velocity did the ball hit the ground when it came back down? Question 18: What would the velocity equation be for a ball that had a height equation of h(t)-16t45t + 4? Question 19: What would the acceleration equation be for a spaceship traveling with a height function of h(t) 13tt40t50?

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