Suppose 7(t) = cos(rt)i + sin(nt)j+ 3tk represents the position of a particle on a helix, where z is the height of the particle. (a) What is t when the particle has height 15? t (b) What is the velocity of the particle when its height is 15? (c) When the particle has height 15, it leaves the helix and moves along the tangent line at the constant velocity found in part (b). Find a vector parametric equation for the position of the particle (in terms of the original parameter t) as it moves along this tangent line. L(t) =||

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter9: Atomic Structure
Section: Chapter Questions
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10.7: Problem 6
Suppose 7(t) = cos(rt)i + sin(nt)j+ 3tk represents the
position of a particle on a helix, where z is the height of the
particle.
(a) What is t when the particle has height 15?
(b) What is the velocity of the particle when its height is 15?
(c) When the particle has height 15, it leaves the helix and
moves along the tangent line at the constant velocity found in
part (b). Find a vector parametric equation for the position of
the particle (in terms of the original parameter t) as it moves
along this tangent line.
L(t) =|
Transcribed Image Text:10.7: Problem 6 Suppose 7(t) = cos(rt)i + sin(nt)j+ 3tk represents the position of a particle on a helix, where z is the height of the particle. (a) What is t when the particle has height 15? (b) What is the velocity of the particle when its height is 15? (c) When the particle has height 15, it leaves the helix and moves along the tangent line at the constant velocity found in part (b). Find a vector parametric equation for the position of the particle (in terms of the original parameter t) as it moves along this tangent line. L(t) =|
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