which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and…

which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its speed, as time increases?

which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its speed, as time increases?

Answer

Explanation:

Step1: Analyze speed - time relationship for increasing speed

When the car is increasing its speed, the speed - time graph should have a positive slope. This means that as time (x - axis) increases, the speed (y - axis) also increases.

Step2: Analyze speed - time relationship for constant speed

When the car is traveling at a constant speed, the speed - time graph should be a horizontal line. Since the speed does not change with time, the slope of the line is 0.

Step3: Analyze speed - time relationship for decreasing speed

When the car is decreasing its speed, the speed - time graph should have a negative slope. As time increases, the speed decreases.

Step4: Match with the given graph

The graph that has an upward - sloping part (for increasing speed), a horizontal part (for constant speed) and a downward - sloping part (for decreasing speed) as time increases is the correct one.

Answer:

The first graph (the one with an upward - sloping part, followed by a horizontal part and then a downward - sloping part as time increases)