The 6-lb particle is subjected to the action of its weight and forces F1 = 52i + 6j - 2tk6 lb, F2 = 5t 2 i - 4tj - 1k6 lb, and F3 = 5 -2ti6 lb, where t is in seconds. Determine the distance the ball is from the origin 2 s after being released from rest.

ENGR 232 Dynamic Engineering Systems Lecture 1 Introduction to Numerical Solutions with Differential Equations Dr. Michael Ryan Perspective Solutions to 1 Order ODEs • Analytically - Separation of variables– quantitative • Explicit solution Implicit Solution • Qualitative analysis ▯▯ • Sketch ▯▯, find EQ. Plot trajectories about EP • Direction field –Graphical technique to sketch solution curve versus time, grid spacing • Numerical Solution of DE • Euler’s methodRunge-Kutta etc. • Analog Computer - future lab(Simulink) Read Chapter1 and 18 of Schaum’s Outline ENGR 232 Spring14-15