Question

the distance - time graphs below represent the motion of a car. match the descriptions with the graphs. explain your reasoning.
descriptions:

1. the car is stopped.
2. the car is traveling at a constant speed.
3. the speed of the car is decreasing.
4. the car is coming back.

graph a matches description __ because ____________.
graph b matches description __ because ____________.
graph c matches description __ because ____________.
graph d matches description __ because ____________.

Explanation:

Graph A:

Step1: Analyze Graph A's shape

Graph A is a straight line with a positive slope, meaning distance increases linearly with time.

Step2: Relate to descriptions

A constant speed means distance changes at a constant rate (linear graph with positive slope). So it matches description 2.

Step1: Analyze Graph B's shape

Graph B is a straight line with negative slope, so distance decreases as time increases.

Step2: Relate to descriptions

"Coming back" means distance from start decreases, so this matches description 4.

Step1: Analyze Graph C's shape

Graph C is a horizontal line, so distance doesn't change with time.

Step2: Relate to descriptions

If distance is constant, the car isn't moving (stopped), so it matches description 1.

Answer:

Graph A matches description 2 because it's a straight line with positive slope (distance increases at constant rate, so constant speed).

Graph B: