How do I do numbers 12 to 14?

  12.  1 second, 35 ft; 2 seconds, 32 ft

  13.  (t, y) = (1.4 seconds, 37.6 feet)

  14.  37.6 ft; the vertex is the highest point

Step-by-step explanation:

12. You have properly answered question 12.

After 1 second, the height is 35 feet; after 2 seconds, it is 32 feet.

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13. My method of choice is to plot the graph on a graphing calculator and let it show me the coordinates of the vertex when I highlight that point. (See attached.) The vertex is ...

  (t, y) = (1.4, 37.6)

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14. The graph is a graph of height when the object is launched with a vertical velocity of 45 ft/s. So, the maximum of the graph will correspond to the maximum height of the object. The vertex is that maximum point, and its y-coordinate is that maximum height.

The maximum height is 37.6 feet.

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step-by-step explanation: