1. example 3 Height of a Ball Chapter 3.1 A ball is thrown at 64 feet per second from the top of an 80-foot-high building. a.Write the quadratic function that models the height (in feet) of the ball as a function of the time t (in seconds). b.Find the t-coordinate and s-coordinate of the vertex of the graph of this quadratic function. c.Graph the model. d.Explain the meaning of the coordinates of the vertex for this model.  2009 PBLPathways

2. A ball is thrown at 64 feet per second from the top of an 80-foot-high building. a.Write the quadratic function that models the height (in feet) of the ball as a function of the time t (in seconds). b.Find the t-coordinate and s-coordinate of the vertex of the graph of this quadratic function. c.Graph the model. d.Explain the meaning of the coordinates of the vertex for this model.

3.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. a.Write the quadratic function that models the height (in feet) of the ball as a function of the time t (in seconds). v 0 is the initial speed (at t = 0) in feet per second h 0 is the initial height (at t = 0) in feet -16 feet per second 2 is the acceleration due to gravity v 0 = 64 h 0 = 80

4.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. a.Write the quadratic function that models the height (in feet) of the ball as a function of the time t (in seconds). v 0 is the initial speed (at t = 0) in feet per second h 0 is the initial height (at t = 0) in feet -16 feet per second 2 is the acceleration due to gravity v 0 = 64 h 0 = 80

5.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. a.Write the quadratic function that models the height (in feet) of the ball as a function of the time t (in seconds). v 0 is the initial speed (at t = 0) in feet per second h 0 is the initial height (at t = 0) in feet -16 feet per second 2 is the acceleration due to gravity v 0 = 64 h 0 = 80

6.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. a.Write the quadratic function that models the height (in feet) of the ball as a function of the time t (in seconds). v 0 is the initial speed (at t = 0) in feet per second h 0 is the initial height (at t = 0) in feet -16 feet per second 2 is the acceleration due to gravity v 0 = 64 h 0 = 80

7.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. a.Write the quadratic function that models the height (in feet) of the ball as a function of the time t (in seconds). v 0 is the initial speed (at t = 0) in feet per second h 0 is the initial height (at t = 0) in feet -16 feet per second 2 is the acceleration due to gravity v 0 = 64 h 0 = 80

8.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. a.Write the quadratic function that models the height (in feet) of the ball as a function of the time t (in seconds). v 0 is the initial speed (at t = 0) in feet per second h 0 is the initial height (at t = 0) in feet -16 feet per second 2 is the acceleration due to gravity v 0 = 64 h 0 = 80

9.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. b.Find the t-coordinate and s-coordinate of the vertex of the graph of this quadratic function.

10.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. b.Find the t-coordinate and s-coordinate of the vertex of the graph of this quadratic function.

11.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. b.Find the t-coordinate and s-coordinate of the vertex of the graph of this quadratic function.

12.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. b.Find the t-coordinate and s-coordinate of the vertex of the graph of this quadratic function.

13.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. b.Find the t-coordinate and s-coordinate of the vertex of the graph of this quadratic function.

14.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. b.Find the t-coordinate and s-coordinate of the vertex of the graph of this quadratic function.

15.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. b.Find the t-coordinate and s-coordinate of the vertex of the graph of this quadratic function.

16.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. b.Find the t-coordinate and s-coordinate of the vertex of the graph of this quadratic function.

17.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. c.Graph the model. t S (2, 144)

18.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. c.Graph the model. t S (2, 144)

19.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. d.Explain the meaning of the coordinates of the vertex for this model. t S (2, 144)

20.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. d.Explain the meaning of the coordinates of the vertex for this model. t S (2, 144)

21.  2009 PBLPathways A ball is thrown at 64 feet per second from the top of an 80-foot-high building. d.Explain the meaning of the coordinates of the vertex for this model. t S (2, 144) 144