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

[TECH GEEK]

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!

 

[nicksauce]

Well, what is it exactly you don't understand? We can try to help you, sure, but we need to know where to start.

 

[TECH GEEK]

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

V = Vo + at
X - Xo = Vot + .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)

 

[Redbelly98]

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

V = Vo + at
X - Xo = Vot + .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.

 

[PJC01]

Absolutely, I would be happy to help you understand kinematics! Kinematics is the study of motion, specifically the position, velocity, and acceleration of objects. It is a crucial concept in physics and is often used to describe the movement of objects in one, two, or three dimensions.

To understand 1-d kinematics, it is important to have a good grasp of the basic equations and concepts. The key equations to remember are:

1. Displacement (Δx) = Final position (xf) - Initial position (xi)
2. Average velocity (v) = Δx/Δt
3. Average acceleration (a) = Δv/Δt

These equations describe the relationship between an object's position, velocity, and acceleration. It is important to note that displacement is a vector quantity, meaning it has both magnitude and direction, while velocity and acceleration are both vector quantities.

To fully understand kinematics, it is also important to understand the difference between average and instantaneous values. Average values are calculated over a certain time interval, while instantaneous values are measured at a specific moment in time. This is important because an object's velocity and acceleration can change over time, so it is crucial to know when these values are being measured.

Additionally, it is helpful to visualize kinematics using graphs. A position-time graph shows an object's position over time, while a velocity-time graph shows an object's velocity over time. These graphs can help you understand an object's motion and how it changes over time.

I hope this brief explanation helps you understand kinematics better. If you have any further questions or need clarification on any specific concepts, please don't hesitate to ask. I am happy to help in any way I can. Keep up the great work in learning about kinematics!