help me plot a curve with constant acceleration?

[stevebobs]

Hi, I think what I need is a formula that I can apply to determine the co-ordinates of a constant acceleration. I'm not sure how to ask this but here we go: if I have a given distance like 32mm, and I need to determine where to place 12 points on a graph to plot a parabolic curve that will reach a given height at the end of that 32mm. So at the end of the 32mm I have a 3.2mm height and I need to know where to place 12 segments of a given
height to achieve the curve.

 

[pappus]

Hi, I think what I need is a formula that I can apply to determine the co-ordinates of a constant acceleration. I'm not sure how to ask this but here we go: if I have a given distance like 32mm, and I need to determine where to place 12 points on a graph to plot a parabolic curve that will reach a given height at the end of that 32mm. So at the end of the 32mm I have a 3.2mm height and I need to know where to place 12 segments of a given
height to achieve the curve.

1. Divide the length of 32 mm into 12 equidistant segments.

2. The general equation of the parabola could be: \(\displaystyle y = a \cdot x^2 \)

3. Since \(\displaystyle 3.2 = a \cdot 32^2 \) you are able to determine the value of a.

4. Make a table to calculate the coordinates of the 13 points.