This preview shows pages 1–5. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: PHYS 211 2/02/09 2D and 3D Motion Describe: Displacement, Velocity, and Acceleration Projectile Motion Example Particle has velocity Gets an acceleration a=3.0 m/s 2 at an angle of 130 Find the magnitude and direction of the velocity vector 5 seconds later. v = 2.0 i 4.0 j ( m / s ) Steps: Sketch vectors on graph Resolve a into components a x and a y Compute new velocity in each dimension independently Use components of new v to get magnitude and direction v = v + a t Example Continued a v v f a = v f v v = v + a t v x = v x + a x t v y = v y + a y t Vector equation represents two equations a x = a cos( ) = 3.0( m / s 2 )cos(130 ) = 1.93 m / s 2 a y = a sin( ) = 3.0( m / s 2 )sin(130 ) = 2.3 m / s 2 a x a y v x v y v v f v fx v fy v x = 2 ( m / s ) + ( 1.93 m / s )(5 s ) = 11.6 m / s v y = 4 ( m / s ) + (2.3 m / s )(5 s ) = 7.5 m / s v f = 11.6 i + 7.5 j ( m / s ) = tan 1 7.5 11.6 = 33  v f  = 11.6 2 + 7.5 2 = 13.8 ( m / s ) = 147 Velocity and Acceleration A ball is rolling down one hill and up another as shown. Points A and B are at the same height. How do the velocity and acceleration change as the ball rolls from point A to point B?...
View
Full
Document
This note was uploaded on 10/03/2011 for the course PHYS 211 taught by Professor Pettie during the Spring '08 term at South Carolina.
 Spring '08
 PETTIE
 Acceleration, Projectile Motion

Click to edit the document details