UBER EASY QUESTION: just need to make sure.

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SUMMARY

The discussion revolves around calculating the gravitational constant using kinematic equations in an IB Physics HL context. The key equation highlighted is the kinematic equation for height, s(x) - s_0 = v_0 t + 0.5 a t^2, which simplifies the process of determining acceleration. Participants emphasize the importance of understanding the mean value theorem and its application in deriving mean acceleration. The conclusion is that utilizing basic kinematic equations is sufficient for solving the problem without needing complex calculus concepts.

PREREQUISITES
  • Understanding of kinematic equations, specifically s(x) - s_0 = v_0 t + 0.5 a t^2
  • Familiarity with the mean value theorem in calculus
  • Basic knowledge of gravitational acceleration and its constancy
  • Experience with average velocity calculations in physics
NEXT STEPS
  • Study the application of kinematic equations in various physics problems
  • Learn how to derive acceleration using the mean value theorem
  • Explore advanced topics in mechanics, including free fall and air resistance effects
  • Review the principles of calculus as they apply to physics problems
USEFUL FOR

Students in IB Physics HL, educators teaching mechanics, and anyone interested in understanding the application of kinematic equations in real-world scenarios.

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Homework Statement



Create a lab to find the gradational constant of the earth.

Homework Equations



a = d/(t^2)


The Attempt at a Solution



Just a general question. If you drop a object (air resistance negligible) and you know the t initial is 0 and you know the t final is w/e you get on your stop watch. You do d/t to get average velocity of the fallen object.


Now that you have the avrg velocity you know the V initial is zero and the speed rises to the avrg velocity, can you assume that a = V avrg / t?


Im in IB physics HL but just can't get my head around this one for some reason...
 
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Okay, well if you are in IB physics HL you know calculus. Did you learn the mean value theorem?

v'(c)=a(c)=\frac{v(t_1)-v(t_0)}{t_1-t_0}

This will give you the mean acceleration. We know that gravity is constant, so it doesn't even matter that we get the mean, so you're good.

Why don't you just use the kinematic equation for height?

s(x)-s_0=v_0 t + .5 a t^2
 
Mindscrape said:
Okay, well if you are in IB physics HL you know calculus. Did you learn the mean value theorem?

v'(c)=a(c)=\frac{v(t_1)-v(t_0)}{t_1-t_0}

This will give you the mean acceleration. We know that gravity is constant, so it doesn't even matter that we get the mean, so you're good.

Why don't you just use the kinematic equation for height?

s(x)-s_0=v_0 t + .5 a t^2

Thanks. Got it. I did think about the mean value theorem but we did not have a v initial and v final but just a v avrg. In the midst of all these upscale formulas I forgot the basic s(x)-s_0=v_0 t + .5 a t^2; Well I can argue that I didnt do mechanics since last year but thanks a lot.
 

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