Answer:
For the first 5 hours of the hike, the hiker travels 3 km at a constant speed of 0.6 km/h away from the starting position. Then, they stop for a rest lasting 3 hours. After the break, the hiker continues in the same direction, covering 9 km in the next 4 hours at an constant speed of 2.25 km/h. They then stop again for another 2 hours. At this point, 14 hours into the hike, the hiker turns around and travels back towards the starting position, covering 12 km in 6 hours at a constant speed of 2 km/h.
Step-by-step explanation:
A distance-time graph is a graphical representation that shows how the distance travelled by an object changes over time.
In a distance-time graph, the gradient of the line represents the speed of the object. A steeper line indicates a greater gradient and thus a higher speed. Therefore, to determine the speed of the object, we need to calculate the gradient of the line.
- A horizontal line has a gradient of zero, meaning the object is stationary.
- A positive gradient means the object is moving away from the starting point.
- A a negative gradient indicates the object is returning toward the starting point.
Here is a story for the given distance-time graph of a hiker's journey:
For the first 5 hours of the hike, the hiker travels 3 km at a constant speed of 0.6 km/h away from the starting position. Then, they stop for a rest lasting 3 hours. After the break, the hiker continues in the same direction, covering 9 km in the next 4 hours at an constant speed of 2.25 km/h. They then stop again for another 2 hours. At this point, 14 hours into the hike, the hiker turns around and travels back towards the starting position, covering 12 km in 6 hours at a constant speed of 2 km/h.
