While hiking, Julia kicked a small rock off a ledge that was meters above a crevasse. Use GeoGebra to graph the situation using the formula y= -4.9t² + 9. Use the graph to determine when the rock will hit the bottom of the crevasse, 2 meters below ground level. Round your answer to the nearest tenth of a second.
To graph the situation using the formula y = -4.9t^2 + 9, we can use GeoGebra to create a graph that represents the height of the rock over time.
1. Open GeoGebra and select the Graphing view.
2. Enter the equation y = -4.9t^2 + 9 into the input bar.
3. Adjust the axes so that the x-axis represents time and the y-axis represents height.
4. Add a horizontal line at y = -2 to represent the height of the crevasse.
5. Use the Intersection tool to find where the graph intersects the line y = -2, which will give us the time when the rock hits the bottom of the crevasse.
After following these steps and finding the point of intersection, we can determine that the rock will hit the bottom of the crevasse about 1.4 seconds after being kicked off the ledge.