Accuracy of the Formula xf=xi +vixΔt for Constant Velocity

[anthony123456]

Homework Statement

Is the following formula accurate?: xf=xi +vixΔt
This question is for the hypothesis in our lab report. If we solve for the xf experimentally (in the lab), will the answer we get be the same if I do it mathematically. If so, why?

Homework Equations

xf=xi +vixΔt
to solve for Δt, use: yf = yi + viyΔt + 1/2a Δt^2
vix is solved in the first part of the experiment...

The Attempt at a Solution

The following formula is accurate as the x velocity is constant, thus whatever distance traveled, the distance traveled will be the same per second. What else can I say about it?

 

[BruceW]

The following formula is accurate as the x velocity is constant, thus whatever distance traveled, the distance traveled will be the same per second. What else can I say about it?

Yep. Maybe you are supposed to think of some reasons why the x velocity is not exactly constant in the experiment.

 

[anthony123456]

Yep. Maybe you are supposed to think of some reasons why the x velocity is not exactly constant in the experiment.

Thank you for responding. I need to say why the answers for xf will be the same (mathematically and experimentally). The vix is always constant, according to our teacher (air resistance is negligible).

 

[BruceW]

Then maybe you are supposed to talk about why the equation is true given that the velocity is constant. Do you know much about calculus?

 

[anthony123456]

maybe, and I will be learning calculus next year. Why do you ask?

 

[anthony123456]

Then maybe you are supposed to talk about why the equation is true given that the velocity is constant. Do you know much about calculus?

How can I explain that the equation is true?

 

[BruceW]

Well, you are given that the speed is constant, and how (in calculus) are speed and position related?

 

[anthony123456]

Well, you are given that the speed is constant, and how (in calculus) are speed and position related?

I am not too sure... How are they related? Is it because there is no acceleration in the x-direction so speed and position are related proportionally, so to speak? This is a guess.

 

[BruceW]

pretty much, but if you haven't done calculus, then I don't think you'd be expected to give this kind of answer. Maybe you are supposed to say why there is no acceleration in the x-direction, like why the air resistance doesn't affect the outcome in this case.

 

[anthony123456]

Ok thank you, I will do my best. Thank's for the assistance!

 

[BruceW]

no problem!