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: tangential and normal components. 5 FORMULA SHEET 1. The trajectory of an object thrown in the air is given by the formula: r ( t ) = r + v t1 2 g t 2 where g = (0 , 32) , r is the initial position and v is the initial velocity. Additionally v =  v  is the initial speed. 2. The arc length of a curve given by the parametrization r ( t ) , a ± t ± b, is equal to: Ú b a  r Í ( t )  dt. 3. The tangential and normal components of the acceleration for the trajectory given by the parametrization r ( t ) . The acceleration has a decomposition a ( t ) = v Í ( t ) T ( t ) + v Í ( t )  T Í ( t )  N ( t ) , where v ( t ) =  r Í ( t )  , T ( t ) = 1  r Í ( t )  r Í ( t ) and N ( t ) = 1  T Í ( t )  T Í ( t ) ....
View
Full
Document
This note was uploaded on 08/14/2011 for the course MATH 20 C taught by Professor Ronevans during the Spring '08 term at UCSD.
 Spring '08
 RONEVANS
 Math, Multivariable Calculus

Click to edit the document details