Projectile motion but with resistive force

  • Thread starter tubworld
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  • #1
tubworld
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I have this question:

A 10kg projectile is launched with an initial speed of 100m/s at an elevation of 35 degrees. The resistive force is R = -bv , where b =10kg/s.

Determine the horizontal and vertical component coordinates of the projectile as functions of time.

How do I do this?? I urgently need the complete solution to this! Thanx!
 

Answers and Replies

  • #2
LeonhardEuler
Gold Member
860
1
Basically you're looking for a differential equation for the x-component of the velocity. This is not difficult to find because you can work with this component without thinking about the y-component. You know that [itex]\vec{R}=-b\vec{v}[/itex], so then [itex]R_x=-bv_x[/itex]. You also know that [itex]\vec{F}=\vec{R}=m\vec{a}=m\vec{\dot{v}}[/itex], so [itex]R_x=m\dot{v_x}[/itex]. Substitute for R. Do you recognize the solution of the differential equation you get?
 

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