# Force vs Time Graph: Impulse & Momentum

• gauss44
In summary, a force vs time graph is a visual representation of the relationship between force and time. Impulse can be calculated by finding the area under the graph and the slope of the graph represents the rate of change of force over time. Momentum is represented by the area under the graph and there is a direct relationship between impulse and momentum on the graph, with impulse being equal to the change in momentum.

#### gauss44

Member warned about use of formatting template
Regarding the question here, https://www.physicsforums.com/threads/force-vs-time-graph-impulse.665936/ Would it be correct to say that the area under the plotted line equals momentum if the initial momentum were zero?

(This is NOT a homework question. I am posting here since this was the location of the original thread.)

The area under the F-t graph is the change in momentum ... yes.

## 1. What is a force vs time graph?

A force vs time graph is a visual representation of the relationship between the force applied to an object and the time it is applied for. The x-axis represents time and the y-axis represents force.

## 2. How is impulse calculated from a force vs time graph?

Impulse is calculated by finding the area under the force vs time graph. This can be done by dividing the graph into smaller rectangles and adding up their areas, or by using calculus to find the integral of the graph.

## 3. What is the significance of the slope of a force vs time graph?

The slope of a force vs time graph represents the rate at which the force is changing over time. A steeper slope indicates a larger force, while a flatter slope indicates a smaller force.

## 4. How is momentum represented on a force vs time graph?

Momentum is represented by the area under the force vs time graph, as momentum is equal to the product of an object's mass and velocity. The larger the area, the greater the momentum.

## 5. What is the relationship between impulse and momentum on a force vs time graph?

The impulse applied to an object is equal to the change in momentum that the object experiences. This can be seen on a force vs time graph by comparing the area under the graph (impulse) to the size of the momentum change.