From the course: Complete Guide to Differential Equations Foundations for Data Science
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Velocity
From the course: Complete Guide to Differential Equations Foundations for Data Science
Velocity
- Let's dive into another differential equation application. This time, let's explore the physics concept of velocity, including terminal velocity and escape velocity. Let's first take a look at what velocity is. Velocity represents the rate of change of an objects position with respect to time. Velocity helps you determine not only how quickly an object is moving, but also what direction the object is moving. First order differential equations are frequently used to model various velocity systems, especially when the velocity is affected by external forces such as gravity. For this video, let's focus on using Newton's second law of motion. This law states the acceleration of an object is dependent upon net force acting upon an object and the mass of the object itself. It is represented by the following formula of M multiplied by DV, DT equals F net. In this case, M is for your mass, DV, DT is the derivative of velocity, which is also known as the acceleration, and F net represents…
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