1. Hi!
Suppose we have a body that undergoes free fall. We drop it from a height h, which point we henceforth will call s0. The acceleration=a and it is constant. We sample the body's position in timeintervals which are equal. An interval has the length t1.
Then I get that during the first time intyerval, the body would travel the distance
s1=(a*(t1)^2)/2
and during the second it would travel the distance
s2=(a*(2*t1)^2)/2-s1=(a*4(t1)^2)/2-(a*(t1)^2)/2=(a*3(t1)^2)/2=3*s1
However, according to an experiment we did at school, this is wrong.
Have you got any idea?

2.

3. Can't help with homework.
Advice: go back and look at the equations and check for assumptions.

4. the algebra is correct therefore we can place the blame on 2 main factors.

1) assumptions in the algebra

2) experimental error

The only assumption that is strictly not true is constant acceleration as the body will experience drag.

experimental errors can come down to the uncertainty of the equipment and how you measured your variables.

incidentally what kind of range of heights are you measuring over?

5. Originally Posted by organic god
the algebra is correct therefore we can place the blame on 2 main factors.

1) assumptions in the algebra

2) experimental error

The only assumption that is strictly not true is constant acceleration as the body will experience drag.

experimental errors can come down to the uncertainty of the equipment and how you measured your variables.

incidentally what kind of range of heights are you measuring over?
1,33 meters

6. Originally Posted by JekPorkins
Can't help with homework.
Advice: go back and look at the equations and check for assumptions.
I wouldn't say it's exactly homework, it's rather a question that came to me which is related to the experiment.

7. air resistance and the human element can attribute to the errors.

8. You have to estimate the measuring errors on distance and time and do algebraic error propagation in order to evaluate, whether the experimental setup was able to verify theory. I suspect, the overall uncertainty was huge.

9. However, according to an experiment we did at school, this is wrong.
Have you got any idea?
Can you explain how the experiment was conducted? Was it in a vacuum tube? What object did you use to test it? How did you measure it?

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