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A projectile is shot straight upwards. It's approximate height above ground t seconds after it is launched is shown in the table below. 2 5

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A projectile is shot straight upwards. It's approximate height above ground t seconds after it is launched is shown in the table below. 2 5 7 11 13 Height (ft) 480 960 1110 1040 810 Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? O A. Linear (y = mx + b) O B. Logistic y= C 1 + ae- bx O C. Exponential (y = a . b* ) O D. Quadratic (y = ax2 + bx + c) 2) Using your calculator and the best of the four methods above, find a model, H(t), that estimates the height of the projectile t seconds after it is launched. ROUND TO TWO DECIMAL PLACES. H(t) = 3) Use your rounded answer from part 2 to complete the following. What is the approximate maximum height that the projectile achieves? ROUND TO THE NEAREST FOOT. The maximum height is about |feet. What is the approximate velocity of the projectile exactly 4 seconds after it is shot? ROUND TO ONE DECIMAL PLACE The velocity is about |feet per second

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