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Slope = (vertical change)/(horizontal change), commonly referred to as rise/run.

If the graph is a straight line, then you can count squares or measure how much change in vertical, over a specified change in horizontal.

If it is a curve, then you need to have a tangent line (a line that touches the curve at a specific point and has the same slope as the line), then you can determine the slope of that line using the method described, above.

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How do you determine velocity using a position-time graph?

You can't determine velocity from that graph, because the graph tells you nothing about the direction of the motion. But you can determine the speed. The speed at any moment is the slope of a line that's tangent to the graph at that moment.


How do you determine the slope of a straight line on a graph?

Slope of a straight line on a Cartesian coordinated graph is 'rise over run' = y2-y1/x2-x1 = change in 'y'/change in 'x'


How can you determine speed from a distance time graph?

To determine speed from a distance-time graph, you can calculate the slope of the line on the graph. The slope is defined as the change in distance (vertical axis) divided by the change in time (horizontal axis). A steeper slope indicates a higher speed, while a flat line indicates no movement. The speed can be expressed as the ratio of distance traveled to the time taken, and it remains constant for linear sections of the graph.


How can you determine if an exponential pattern is growing or decaying in a graph?

If the graph, from left to right, is going upwards, with an increasing gradient (slope) then it is undergoing growth. If it is going downwards, with a decreasing gradient (slope) then it is undergoing decay.


How can you determine the slope and the y-intercept of a line from a graph?

To determine the slope of a line from a graph, identify two distinct points on the line, then use the formula ( \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} ), where ( (x_1, y_1) ) and ( (x_2, y_2) ) are the coordinates of the points. The y-intercept is found where the line crosses the y-axis, which can be read directly from the graph as the y-coordinate of that intersection point.

Related Questions

How can one determine the order of reaction from a graph?

To determine the order of reaction from a graph, you can look at the slope of the graph. If the graph is linear and the slope is 1, the reaction is first order. If the slope is 2, the reaction is second order. If the slope is 0, the reaction is zero order.


How can one determine velocity from a position-time graph?

To determine velocity from a position-time graph, you can find the slope of the graph at a specific point. The slope represents the rate of change of position, which is the velocity at that point. A steeper slope indicates a higher velocity, while a flatter slope indicates a lower velocity.


How do you determine the speed of an object by looking at a graph?

To determine the speed of an object from a graph, you can calculate the average speed by finding the slope of the line connecting two points on the graph. The steeper the slope, the higher the speed. Alternatively, you can also find the instantaneous speed by looking at the slope of the tangent line at a specific point on the graph.


How can one determine acceleration from a distance-time graph?

To determine acceleration from a distance-time graph, calculate the slope of the graph at a specific point. The steeper the slope, the greater the acceleration. The formula for acceleration is acceleration change in velocity / time.


A distance-time graph for a body starting from rest how will you determine the speed of a body from this graph?

To determine the speed of a body from a distance-time graph when the body starts from rest, you can find the slope of the graph. The slope of a distance-time graph represents the speed of the body. A steeper slope indicates a higher speed, while a shallower slope indicates a lower speed.


How can one determine the average acceleration from a position-time graph?

To determine the average acceleration from a position-time graph, you can calculate the slope of the line connecting the initial and final velocity points on the graph. This slope represents the average acceleration over that time interval.


How can one determine the average acceleration from a velocity-time graph?

To determine the average acceleration from a velocity-time graph, you can calculate the slope of the line connecting the initial and final velocity points on the graph. This slope represents the average acceleration over that time interval.


How can one determine opportunity cost from a graph?

To determine opportunity cost from a graph, you can look at the slope of the graph. The opportunity cost is represented by the ratio of the units of one good that must be given up to produce more units of another good. The steeper the slope of the graph, the higher the opportunity cost.


How do you determine velocity using a position-time graph?

You can't determine velocity from that graph, because the graph tells you nothing about the direction of the motion. But you can determine the speed. The speed at any moment is the slope of a line that's tangent to the graph at that moment.


How can one determine the spring constant from a graph?

To determine the spring constant from a graph, you can calculate it by finding the slope of the line on the graph. The spring constant is equal to the slope of the line, which represents the relationship between force and displacement. By measuring the force applied and the corresponding displacement, you can plot these points on a graph and calculate the spring constant by finding the slope of the line that connects the points.


How would one determine Acceleration from a V-t Graph?

Acceleration can be determined from a velocity-time graph by calculating the slope of the line on the graph. The steeper the slope, the greater the acceleration. If the graph is curved, acceleration can be calculated by finding the tangent to the curve at a specific point.


What can you calculate from velocity time graph?

From a velocity-time graph, you can calculate the acceleration by finding the slope of the graph at a certain point. The area under the graph represents the displacement of the object. You can also determine the direction of motion based on the slope of the graph (positive slope indicates motion in one direction, negative slope indicates motion in the opposite direction).