Question

what is the speed of the bus between points c and d on the distance - time graph? constant speed, faster than between points a and b constant speed, slower than between points a and b slowing down more and more speeding up more and more

Explanation:

Step1: Recall speed - distance - time relationship

Speed is given by the slope of the distance - time graph. A straight - line on a distance - time graph indicates a constant speed.

Step2: Analyze slope between A and B

Let's assume the time interval between A and B is \(t_{AB}\) and the distance interval is \(d_{AB}\). The slope \(m_{AB}=\frac{d_{AB}}{t_{AB}}\).

Step3: Analyze slope between C and D

Let the time interval between C and D be \(t_{CD}\) and the distance interval be \(d_{CD}\). The slope \(m_{CD}=\frac{d_{CD}}{t_{CD}}\). Visually, the line between C and D has a steeper slope than the line between A and B. A steeper slope on a distance - time graph means a higher speed. Since the lines are straight, the speed is constant in both intervals.

Answer:

constant speed, faster than between points A and B