Curvature: how quickly does a curve change direction? 1 2 3 The - - PDF document

curvature how quickly does a curve change direction
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Curvature: how quickly does a curve change direction? 1 2 3 The - - PDF document

Curvature: how quickly does a curve change direction? 1 2 3 The normal and binormal vectors How can we find three orthogonal unit vectors that move with a particle through space? 4 5 6 7 8 The osculating plane 9 Velocity and


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Curvature: how quickly does a curve change direction?

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The normal and binormal vectors How can we find three

  • rthogonal unit vectors

that move with a particle through space?

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The osculating plane

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Velocity and acceleration

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Given acceleration, we can also find velocity and position by integrating... We require unknown constants to be added at each step; their values are often determined later from "initial conditions".

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A projectile is fired from a cannon at a 45 degree angle across flat terrain. The muzzle velocity is 300 m/s. Neglecting air friction, find the distance away that the projectile lands.

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Newton's Second Law Often we just want the acceleration:

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Consider a particle of mass m=11,110 kg

  • rbiting the origin according to

(represents the Hubble Space Telescope)

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Practice!

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