Question

a bird of prey leaves the nest to go hunting. it flies for several miles away from the nest before stopping to eat. after eating, it continues flying away from the nest for several more miles, looking for more food. using three segments, sketch a possible graph that shows the birds distance from the nest versus time.

Explanation:

Step1: Initial flight

The bird starts at the nest (distance = 0) and then flies away from the nest, so the distance - time graph will have a positive - sloped line segment as time increases and distance from the nest increases.

Step2: Stopping to eat

When the bird stops to eat, its distance from the nest remains constant while time is still passing. So, there will be a horizontal line segment on the graph.

Step3: Continuing flight

After eating, the bird continues flying away from the nest, so the graph will again have a positive - sloped line segment as distance from the nest increases with time.

To sketch the graph:

1. Mark the origin (0,0) to represent the starting point (the bird at the nest at time t = 0).
2. Draw a line with a positive slope (going up - right) for the first part of the flight when the bird is moving away from the nest.
3. Draw a horizontal line to represent the time when the bird is stopped to eat.
4. Draw another line with a positive slope to represent the bird's continued flight after eating.

Answer:

Sketch a graph with three line - segments: a positive - sloped line for the initial flight, a horizontal line for the time the bird is stopped to eat, and another positive - sloped line for the continued flight after eating.