The slope of the distance-time plot represents the ratio of the distance travelled by the body to the time taken, i.e., the slope represents the speed of the body. Q. Mention the physical quantity shown by the slope of a speed time graph.

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## What are the physical meanings of the slope and the y-intercept?

The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.

## What physical quantity does a slope represent in a position time graph?

The slope of a position graph represents the velocity of the object. So the value of the slope at a particular time represents the velocity of the object at that instant.

## What is the physical meaning of y-intercept?

A y-intercept is the place where a line or curve crosses, or touches, the y-axis – the vertical, often darkened line in the center of a graph. It is also the point at which x = 0.

## What is the physical meaning of the slope of the graph of position vs time of the motorized cart does it have units?

The principle is that the slope of the line on a position-time graph is equal to the velocity of the object. If the object is moving with a velocity of +4 m/s, then the slope of the line will be +4 m/s. If the object is moving with a velocity of -8 m/s, then the slope of the line will be -8 m/s.

## How do you describe the slope of a graph?

The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.

## How do you explain slope intercept form?

## Which physical quantity is obtained by finding the slope of velocity time graph?

It was learned earlier in Lesson 4 that the slope of the line on a velocity versus time graph is equal to the acceleration of the object.

## What physical quantity is represented by the slope of the velocity vs time graph?

The slope of a velocity graph represents the acceleration of the object. So, the value of the slope at a particular time represents the acceleration of the object at that instant.

## What type of motion is occurring when the slope is constant?

If the slope is constant, then the speed is constant and there is no acceleration. When the velocity vs. time graph is equal to 0 the subject is not moving in any direction and at any speed and so they are standing still.

## What is the physical meaning of the intercept of your graph?

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. Thinking about intercepts helps us graph linear equations.

## How do you determine a slope?

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

## How do I determine slope?

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

## What does the slope of position-time graph represent for a uniform motion?

The slope of the position-time graph indicates velocity.

## What does the slope of the curve on a distance vs time graph represent?

The slope of a distance-time graph indicates the rate of change of distance and it is termed as speed.

## What does the slope of a distance-time graph represent?

A sloping line on a distance-time graph shows that the object is moving. In a distance-time graph, the slope or gradient of the line is equal to the speed of the object. The steeper the line (and the greater the gradient) the faster the object is moving.

## Which word describes the slope of the line?

“Slope” IS a description of a line. Modifiers might be “steep”, “positive”, “negative”, and “rapid”. Another single term is “gradient”.

## What are the correct properties of slope?

- The slope of a line is constant and any two points on the line may be used to find its value.
- A line with positive slope rises from left to right.
- A line with negative slope falls from left to right.
- The slope of a horizontal line is equal to 0.

## How do you explain slope to a child?

In math, the slope describes how steep a straight line is. It is sometimes called the gradient. The slope is defined as the “change in y” over the “change in x” of a line. If you pick two points on a line — (x1,y1) and (x2,y2) — you can calculate the slope by dividing y2 – y1 over x2 – x1.

## What is the meaning of slope in math?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as “rise over run” (change in y divided by change in x).

## What is an undefined slope?

The undefined slope is the slope of any vertical line that goes up or down. There is no horizontal movement and hence the denominator is zero while calculating the slope. Thus the slope of the line is undefined.

## How do you write the slope of an equation?

The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It’s usually easy to graph a line using y=mx+b.

## What is the name of the physical quantity that represents the slope?

Velocity is represented by the slope of a position time graph . Its SI unit is – m/sec.

## Which physical quantity can be calculated by slope of the above graph?

Answer. The physical quantity is speed.

## Which physical quantity we can measure from velocity time graph?

The displacement is represented by the area under a velocity-time graph. The displacement of an object moving at a constant velocity is equal to the product of velocity and time, i.e. S = V t , where is the displacement, is the velocity and is time.