# What is the area under a force position graph?

## What is the area under a force position graph?

The force applied to an object can be graphed as a function of the position of the object. Work is the area under the curve of the force vs. position graph. Areas above the position axis are positive work and areas below the axis are negative work.

**What is the area under a velocity graph?**

The area under a velocity graph represents the displacement of the object.

**What does the area under a force vs distance graph represent?**

David shows how the area under a force vs. position graph equals the work done by the force and solves some sample problems.

### How do you find the area under a force vs time graph?

The area under a force-time graph is force multiplied by time, or a quantity called impulse, which is equal to the change in an object’s momentum.

**How do you find the area under a graph in physics?**

The area of a rectangle is determined by multiplying the base by the height. A = b • h where b = 4 s and h = 30 m/s. That is, the object was displaced 120 m during the first 4 seconds of motion. The area of a rectangle is determined by multiplying the base by the height.

**How do you find the area under a curve?**

The area under a curve between two points is found out by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a & x = b, integrate y = f(x) between the limits of a and b. This area can be calculated using integration with given limits.

## How do you find velocity from force?

F = m * (v/t), where “m” is the mass of the object, “v” is the desired velocity and t = Time.

**How do you calculate velocity from force?**

Acceleration = net force ÷ body mass (body weight ÷ the acceleration of gravity [9.81 m/s/s]) Velocity = acceleration × time. Displacement = velocity × time.

**How do you find the force on a velocity vs time graph?**

Find the change in velocity over the period of time when you know the momentum is changing, then you get the force.