# Tossing a Ball

Gabby Railey tosses a ball off the top of Haley Center. From physics, we know that the function h(t)=-16t

^{2}+v_{0}t+h_{0 }gives us the height of a falling object (in feet) at a given time in seconds, where v_{0}is the initial velocity of the object and h_{0}is the initial height. The app below shows this situation in three different ways:- In the left pane, slider t shows the elapsed time. B shows the path of the ball as it drops.
- In the middle pane, the graph of h(t) is shown. Slider v
_{0}gives the initial velocity, and the initial height can be adjusted by dragging point h_{0}. - The left pane shows a table of values for t and h(t).
- Tap "Toss Ball" to begin a simulation of the ball toss. To restart the simulation, tap "t=0." You can also hit "Stop" to pause the simulation.

- What maximum height does the ball reach? How can you tell that from the information in each of the three panes?
- At what time does the ball hit the ground? How can you tell that from the information in each of the three panes?
- How does changing h
_{0}and v_{0}change your answers?

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