# Postion v time, Velocity v T and Acceleration v T Math Model Variable Help

1. I have three equations that were generated by logger pro when I inputted all my gathered data for an acceleration project and I need to state what physical quantity each variable represents. I have gotten most of them. Im mainly concerned about the variables A B and C on the math models. Any info would be great

2.
1)Position vs Time Math Model:
• Position vs Time: y=Ax^2+Bx+C
• y=position, A=velocity, x=time, b=starting position, c=_________________
2) Velocity vs Time Math Model:
• y=mx+b.
• y=velocity, m=acceleration, x=time, b=starting position.
3) Acceleration vs Time Math Model:
• y=A*exp(-Cx)+B
• y= acceleration, A=Jerk (acceleration/time) x=time, b=starting position and
c=__________________

Thanks
EHS Physics

## The Attempt at a Solution

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Redbelly98
Staff Emeritus
Homework Helper
Welcome to Physics Forums.
1. I have three equations that were generated by logger pro when I inputted all my gathered data for an acceleration project and I need to state what physical quantity each variable represents. I have gotten most of them. Im mainly concerned about the variables A B and C on the math models. Any info would be great

2.
1)Position vs Time Math Model:
• Position vs Time: y=Ax^2+Bx+C
• y=position, A=velocity, x=time, b=starting position, c=_________________
I would compare the equation with the kinematic equation that gives position as a function of time. You're correct about x and y, but A and B are wrong.

2) Velocity vs Time Math Model:
• y=mx+b.
• y=velocity, m=acceleration, x=time, b=starting position.
Not entirely correct. This one needs to be compared with the equation that gives velocity vs. time.
3) Acceleration vs Time Math Model:
• y=A*exp(-Cx)+B
• y= acceleration, A=Jerk (acceleration/time) x=time, b=starting position and
c=__________________
I'm not familiar with what equation this is to be compared to, but something is definitely wrong. If y is an acceleration, then B would have to have the same units as acceleration. So B cannot be the starting position. Can you find the appropriate acceleration-vs-time equation in your class notes or textbook, and list it here?