Parabolic Motion

1. Oct 26, 2007

tarkimos

I was wondering if it is possible to convert a projectile motion(velocity, direction, etc) into a (parabolic) equation.
I am programming a motion planner to use in a simple 'game' that I am making.
A formula would be appreciated.
I was thinking something like http://img99.imageshack.us/img99/187/eq220d30dcno9.png [Broken]
To get the x value I am using the range formula

I am then using a similar formula to calculate the total time of flight.
Then I am dividing the range by the total time of flight.

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Last edited by a moderator: May 3, 2017
2. Oct 28, 2007

tarkimos

hello?

3. Oct 29, 2007

CompuChip

If the acceleration is constant,
$$y(t) = \frac12 a t^2 + v(0) t + x(0)$$,
otherwise you should take something like
$$y(t) = \int v(t) dt = \iint a(t) dt dt$$
and do a numerical integration.

4. Oct 30, 2007

Thanks.