Calculate Acceleration at t=38.60s: Simple Step-by-Step Guide

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SUMMARY

The discussion focuses on calculating the acceleration of an object moving with constant acceleration at t=38.60 seconds, based on position data collected at three time intervals. The positions recorded are 9.600 m at 37.40 s, 15.804 m at 38.60 s, and 27.696 m at 39.80 s. To find the acceleration, users are advised to first calculate the velocity between the two time points (37.40 s and 38.60 s) and then apply kinematic equations, specifically using the formula x = v₀t + 0.5at². This method provides a clear step-by-step approach to derive the acceleration.

PREREQUISITES
  • Understanding of kinematic equations, particularly x = v₀t + 0.5at²
  • Basic knowledge of velocity and acceleration concepts
  • Ability to perform calculations involving time and distance
  • Familiarity with interpreting position-time data
NEXT STEPS
  • Calculate average velocity using the formula v = (x₂ - x₁) / (t₂ - t₁)
  • Apply the kinematic equation to find acceleration using known values
  • Explore additional kinematic equations for varying conditions
  • Review examples of constant acceleration problems for practice
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in mastering the concepts of motion and acceleration in a straightforward manner.

zhenyazh
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ok this is really easy. and i solved it once and now i can't get to the same solution.

An object is moving in a straight line with a constant acceleration. Its position is measured at three different times, as shown in the table below.
Time (s) | Position, (m)
37.40 | 9.600
38.60 | 15.804
39.80 | 27.696
Calculate the magnitude of the acceleration at t=38.60 s.

so i tried with the x and v formuals, it gets me nowhere
also tried with finding inclines.

can u give me an outline of how to do it?

thanks
 
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you know that the object from time 37.4 till 38.6 (s) moved from 9.6 to 15.804(m) , can you get the velocity from these information then substitute in any of the kinematic equations( i.e x = volt + 0.5 at^2 ) ..
 

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