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Homework Help
Calculus and Beyond Homework Help
Determining Motion from a Derivative
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[QUOTE="friendbobbiny, post: 4968206, member: 506810"] [h2]Homework Statement [/h2] Given position function r(t) and r'(t) = c X r(t), where c is some constant vector, describe the path of the particle. In other words, describe r(t). [h2]Homework Equations[/h2] // [h2]The Attempt at a Solution[/h2]a) r'(t) points in the direction of motion. If we can understand how r'(t) changes direction, we can understand how r(t) moves. b) r'(t) is the cross product of c and r(t). Therefore, the function is perpendicular to both c and r(t). c) If r'(t) is perpendicular to c, r'(t) lies on a plane that c is normal to. d) ---- No other leads [/QUOTE]
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Determining Motion from a Derivative
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