MATLAB Answers

0

2nd Order Ordinary Differential Equation

Asked by JoonHee Joh on 17 Dec 2015
Latest activity Edited by JoonHee Joh on 21 Dec 2015
How do you solve the following 2nd order ODE
so this question describes the motion of an object in 3-D space
r vector represents the position of an object a vector is an acceleration vector caused by drag g vector simply represents the gravitational acceleration where g_z = -9.8
r(0) is given by
and r'(0) or v(0) is given by
* Now here is my question *
Assuming that drag is 0 (thus, a vector simply reduces to 0) and given initial conditions above
How can you find the time(t_I) at which the object hits the ground (r = 0)
and how can you express the position and velocity of this object as functions of time?
Can anyone provide the MATLAB code to solve these problems?? :P

  0 Comments

Sign in to comment.

1 Answer

Answer by Torsten
on 18 Dec 2015

If the drag is zero, the general solution is
x(t) = x(0) + vx(0)*t + gx/2*t^2
y(t) = y(0) + vy(0)*t + gy/2*t^2
z(t) = z(0) + vz(0)*t + gz/2*t^2
Best wishes
Torsten.

  0 Comments

Sign in to comment.