How Do I Apply Basic Equations in 1-D Kinematics?

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SUMMARY

This discussion focuses on the application of basic equations in 1-D kinematics, specifically for problems involving constant acceleration. The key equations highlighted include: V = Vo + at, X - Xo = Vo*t + 0.5at², v² = Vo² + 2a(X - Xo), and X - Xo = 0.5(Vo + V)t. Participants emphasize the importance of understanding the five key quantities: time, displacement, initial and final velocities, and acceleration, which are essential for solving kinematics problems. The discussion concludes that a minimum of three of these five quantities must be known to solve any 1-D kinematics problem.

PREREQUISITES
  • Understanding of basic physics concepts, particularly motion and forces.
  • Familiarity with the equations of motion for constant acceleration.
  • Knowledge of the definitions of displacement, velocity, and acceleration.
  • Basic algebra skills for manipulating equations.
NEXT STEPS
  • Study the derivation and application of the equations of motion in 1-D kinematics.
  • Practice solving 1-D kinematics problems using the provided equations.
  • Explore 2-D kinematics and how it differs from 1-D kinematics.
  • Learn about graphical representations of motion, such as position-time and velocity-time graphs.
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone looking to strengthen their understanding of motion in one dimension.

TECH GEEK
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Can Anyone Help Me Understand Kinematics?

I just need to know a little more about 1-d kinematics.
Note: I have read the definition and the formulas but I still need help!

Thanks for any help! It is all gladly appreciated!
 
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Well, what is it exactly you don't understand? We can try to help you, sure, but we need to know where to start.
 


Just how to use the foumulas and what each one does also their names.

V = Vo + at
X - Xo = volt + .5at2
v2 = vo2 + 2a(X - Xo)
X - Xo = .5(Vo + V)t

Thanks again
Also if I am missing any fourmulas let me know
(I just want the formulas that relate to 1d and 2d kinematics)
 
Last edited:


TECH GEEK said:
Just how to use the foumulas and what each one does also their names.

V = Vo + at
X - Xo = volt + .5at2
v2 = vo2 + 2a(X - Xo)
X - Xo = .5(Vo + V)t

Thanks again
Also if I am missing any fourmulas let me know
(I just want the formulas that relate to 1d and 2d kinematics)
Your list is complete for 1d kinematics problems with constant acceleration.

For starters, you have to understand there are 4 distinct types of quantities that appear in these problems:
  • time
  • displacement
  • velocity, the rate of change of displacement
  • acceleration, the rate of change of velocity, assumed constant
We usually assume t=0 initially. Also, the initial displacement is often zero as well, or if not it should be given or somehow obvious from the problem statement.

So apart from initial time and displacement, there are 5 quantities of interest in kinematics problems with constant acceleration:
  • final time, t
  • final displacement, x
  • initial and final velocities, v0 and v
  • acceleration, a
You can approach any 1-d kinematics problem as follows:
  • Is the initial displacement x0 = 0, or something else?
  • Make a checklist of the 5 quantities t, x, v0, v, and a
  • Which of those 5 quantities are given in the problem statement?
  • Which of those 5 quantities are you asked to find?
  • Figure out which equation from your list contains the given quantities and asked-for quantity, and solve it.
Note: you must be given, or be able to figure out by other means, three of the 5 quantities. A 1-d kinematics problem can't be solved until you know the values of 3 of them.

Hope that helps, if there are more questions feel free to ask.
 
Last edited:

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