i am supposed to sketch a postion time graph for a bear starting at 1.2meters from a refrence point,walking slowly away at a constant velocity for 3 seconds stopping for 5 secods, backing up at hlad the speed for 2 seconds, and finally stopping.
how would it look like on a graph
To sketch a position-time graph for the scenario described, follow these steps:
1. Start by drawing the horizontal x-axis, representing time, and the vertical y-axis, representing position.
2. Label the x-axis with time intervals in seconds and the y-axis with position in meters.
3. Mark the reference point at 0 meters on the y-axis.
4. At time t = 0 seconds, mark a point at 1.2 meters on the y-axis to represent the bear's starting position.
5. From t = 0 to t = 3 seconds, draw a straight, horizontal line parallel to the x-axis at 1.2 meters, indicating that the bear is walking slowly away at a constant velocity.
6. At t = 3 seconds, mark a vertical line to represent the bear stopping for 5 seconds. The line should touch the horizontal x-axis and reach the top of the graph.
7. From t = 3 to t = 8 seconds (5 seconds), draw a horizontal line at the same position to indicate that the bear is stationary.
8. At t = 8 seconds, mark a vertical line to represent the bear backing up at half the speed for 2 seconds. The line should touch the horizontal x-axis and go downwards.
9. From t = 8 to t = 10 seconds (2 seconds), draw a straight, horizontal line parallel to the x-axis at a lower position, indicating that the bear is moving backward.
10. At t = 10 seconds, mark a vertical line to represent the bear stopping. The line should touch the horizontal x-axis and reach the bottom of the graph.
11. From t = 10 seconds onwards, draw a horizontal line parallel to the x-axis at the same position to indicate that the bear remains stationary.
Your resulting graph should have three horizontal segments: one at 1.2 meters, one at the lower position for backing up, and one at the bottom representing the final stop. There should be two vertical lines representing the bear's pauses, and the rest of the graph will be horizontal lines parallel to the x-axis.