I want to plot the movement of the rocket relative to time ($t$) in the triple dimension $(x, y, z)$. I have all the information about the rocket. I simulate the motion of a rocket. Can you help me to find equations of motion coordinates?
closed as off-topic by Gert, stafusa, John Rennie, Kyle Kanos, JMac Dec 28 '17 at 18:05
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You can use these equations, assuming that the acceleration of the rocket is constant and that air friction is negligible. There are 3 equations, one for the z-axis, which is the up-down axis, one for the y-axis, which is the left-right axis, and one for the x-axis, which is the forward-backward axis. The z-axis equation is: $$z = z_0 + v_0 \sin\theta t + 1/2(g+a\sin\theta) t^2 \;,$$ where $z_0$ is the starting position in the z-axis, $v_0$ is the starting velocity, $\theta$ is the angle between the rocket and the ground, $g$ is the acceleration due to gravity,$t$ is the time, and $a$ is the acceleration of the rocket. The x-axis equation is, $$x =x_0 + v_0(\cos\alpha) t+1/2 (a\cos\alpha) t^2 \;,$$ where $x_0$ is the starting position in the x-axis, $\alpha$ is the angle between the rocket and the x-axis, and t is the time. Finally, the equation for the y-axis is, $$y =y_0 + (v_0\sin\alpha) t+1/2 (a\sin\alpha) t^2 \;,$$ where $y_0$ is the starting position in the y-axis, $\alpha$ is the angle between the rocket and the x-axis, and t is the time. Hopefully those equations help you out in your simulation.