MATH 14 Chapter Notes - Chapter 13.1 & 13.2: Projectile Motion, Differential Equation, Chain Rule

• School: Santa Clara University
• Department: Mathematics and Computer Science
• Course: MATH 14
• Professor: Daniel Ostrov

Document Summary

Sect 13. 2: integrals of vector functions; projectile motion. The vector & parametric equations for ideal projectile motion. Height, flight time, and range for ideal projectile motion. Section 13. 1 curves in space and their tangents. A particle"s coordinates p( f ( t ), g ( t ), h ( t ) ) t i y = g ( t ), z = h ( t ), x = f ( t ), A curve in space in vector form: r ( t ) = vector op = f ( t ) i + g ( t ) j + h ( t ) k. Example 1 : graph the vector function: r ( t ) = cos( t ) i + sin( t ) j + ( t ) k . 1 out of 12 x 2 + y 2 = (cos t ) 2 + (sin t ) 2 = 1.