handout 13-5 - Math 200, Spring 2010 Handout 9 Section 13-5...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 200, Spring 2010 Handout 9 Section 13-5 Motion in Three Space Velocity, Speed and Acceleration Suppose a particle moves through space so that its position vector is ( ) t r at time t and ( ) t h + r at time t h + . The vector ( ) ( ) t h t h + r r gives the average velocity over a time interval h and its limit is the velocity vector ( ) t v at time t : ( ) ( ) ( ) ( ) lim h t h t t t h + = = r r v r . Note that the velocity vector ( ) t v is the tangent vector ( ) t r . The speed of the particle at time t is the magnitude of the velocity vector: ( ) ( ) ( ) v t t t = = = v r rate of change of distance with respect to time. The acceleration of the particle at time t is the derivative of the velocity vector: ( ) ( ) ( ) t t t = = = a v r rate of change of the velocity with respect to time. 1. Find the velocity, acceleration, and speed of a particle with position vector ( ) 2cos sin t t t t = + + r i j k ....
View Full Document

This note was uploaded on 02/24/2011 for the course MATH 200 taught by Professor Jamesdcampbell during the Spring '10 term at Santa Barbara City.

Page1 / 4

handout 13-5 - Math 200, Spring 2010 Handout 9 Section 13-5...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online