Question
why do the values on the graph form a straight line when going by distance and time
Answers
GPT 3.5
The values on the graph form a straight line when going by distance and time because distance and time are directly proportional to each other.
In other words, as time increases or decreases at a constant rate, the distance covered also increases or decreases at the same rate. This relationship is known as uniform motion.
Mathematically, this can be represented by the formula:
Distance = Speed × Time
If the speed remains constant, the distance covered in a given time interval will be directly proportional to that time. This results in a straight line on a graph, where the slope of the line represents the speed of the object.
For example, if a car is traveling at a constant speed of 60 miles per hour, the distance it covers in any given hour will be 60 miles. In two hours, it will cover 120 miles, and so on. This relationship can be graphed as a straight line as the distance is directly proportional to time.
In other words, as time increases or decreases at a constant rate, the distance covered also increases or decreases at the same rate. This relationship is known as uniform motion.
Mathematically, this can be represented by the formula:
Distance = Speed × Time
If the speed remains constant, the distance covered in a given time interval will be directly proportional to that time. This results in a straight line on a graph, where the slope of the line represents the speed of the object.
For example, if a car is traveling at a constant speed of 60 miles per hour, the distance it covers in any given hour will be 60 miles. In two hours, it will cover 120 miles, and so on. This relationship can be graphed as a straight line as the distance is directly proportional to time.