Question

1. choose the best answers using the distance - time graph. a bus driver makes various stops at different distances. the bus driver records the time it takes to reach each stop. what is the speed of the bus between points c and d on the distance - time graph? slowing down more and more constant speed, faster than between points a and b speeding up more and more constant speed, slower than between points a and b

Explanation:

Step1: Recall speed - distance - time relationship

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

Step2: Analyze slope between A and B

Let's assume the coordinates of A are \((0,0)\) and if we assume B is at \((0.75,30)\) (approximate from the graph), the slope \(m_{AB}=\frac{30 - 0}{0.75-0}=40\) km/h.

Step3: Analyze slope between C and D

Let's assume C is at \((1.25,30)\) and D is at \((1.75,60)\) (approximate from the graph). The slope \(m_{CD}=\frac{60 - 30}{1.75 - 1.25}=\frac{30}{0.5}=60\) km/h.
Since the line segment between C and D is straight, the speed is constant, and since \(m_{CD}=60\) km/h and \(m_{AB} = 40\) km/h, the speed between C and D is constant and faster than between A and B.

Answer:

constant speed, faster than between points A and B