To find the position of an object at a given point in time: $y_0 + v_0t - \frac{32t^2}{2} = y_t$.
And to find the object's speed at a given point in time: $v_0 - 32t = v_t$
So say I give the following values:
- $y_0 = 500$
- $v_0 = 2$
Here is the plot of $y_t$:$v_t$ as t changes:
- 486:-30
- 440:-62
- 362:-94
- 252:-126
- 110:-158
- -64:-190
If I'm only given a point and velocity on this curve and I'm not told what t is at that point; is it possible to find the next position and velocity?
So for example, say I'm told:
- $y_{i-1} = 362$
- $v_{i-1} = -94$
Now I need to find $y_i$ and $v_i$.