Question

The speed-time graphs below represent the motion of a car. Match the descriptions with the graphs. Explain your answers.

Descriptions:
1. The car is stopped.
2. The car is traveling at a constant speed.
3. The car is accelerating.
4. The car is slowing down.
Graph E matches description ______ because _____________________________ Graph F matches description ______ because _____________________________ Graph G matches description ______because _____________________________ Graph H matches description ______ because _____________________________

Answer 1

Each graph is matched with its corresponding description based on the characteristics of a speed-time graph, such as a horizontal line for constant speed, positive slope for acceleration, and negative slope for deceleration.

Step-by-step explanation:

Graph E matches description 2 because the speed-time graph is horizontal, indicating that the speed is constant over time; there is no change in velocity, so the acceleration is zero. Graph F matches description 3 because the speed-time graph has a positive slope, which means the speed is increasing over time; hence, the car is accelerating. Graph G matches description 4 because the slope of the speed-time graph is negative, implying that the speed is decreasing over time, indicating that the car is decelerating or slowing down. Graph H matches description 1 because the speed is zero at all times; the line is on the horizontal axis, corresponding to no movement, meaning the car is stopped.