Velocity equation for quadratic drag, vertically thrown

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Homework Help Overview

The discussion revolves around deriving a velocity equation for an object experiencing quadratic drag while being thrown vertically. The original poster presents the net force equation and initial conditions related to the motion of the object.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the nature of the differential equation involved, with some suggesting it is first order and separable. There are attempts to clarify the approach to solving the equation and questions about the original poster's familiarity with differential equations.

Discussion Status

The discussion is ongoing, with participants providing guidance on the type of differential equation and exploring the original poster's understanding of the topic. There is no explicit consensus yet, but some productive direction is emerging regarding the classification of the equation.

Contextual Notes

The original poster expresses uncertainty about the type of differential equation, indicating a potential gap in understanding that is being addressed through participant responses.

Hannibal123
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Homework Statement



I am having some trouble deriving this velocity equation. I the net force will be

[itеx] m * dv/dt = - mg - kv^2 [/itеx]

Because the object is moving upwards. At the time t=0 the velocity will be [itеx]v(0)=v_0[/itеx]

Homework Equations


The Attempt at a Solution

 
Last edited by a moderator:
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Have you studied differential equations? That is a first order-separable one.

ehild
 
Try multiplying the numerator and denominator of the left hand side by v, and using dx = vdt.
 
ehild said:
Have you studied differential equations? That is a first order-separable one.

ehild

I am familiar with diff equations of first order. However i can't see what kind it is?
 
It is a first order, separable one.

ehild
 
Last edited:

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