Creating And Using Kinematic Equations Chart - Kinematics - Physics
Summary
TLDRThis video tutorial guides viewers on creating a kinematics equation chart, a valuable tool for solving kinematic problems. It outlines the five fundamental kinematic variables: displacement (Δx), initial velocity (VI), final velocity (VF), acceleration (a), and time (t). The video then presents four kinematic equations, each missing one of the variables, which is crucial for determining the appropriate equation to use based on the given and unknown variables in a problem. The tutorial demonstrates how to apply the chart to a real-world problem involving a car's acceleration and time to find the displacement, emphasizing the importance of identifying the unneeded variable to select the correct equation.
Takeaways
- 📚 The video teaches how to create a kinematics equation chart to solve kinematic problems.
- 🔢 Five key kinematic variables are identified: displacement (Δx), initial velocity (VI), final velocity (VF), acceleration (a), and time (t).
- 📈 Four fundamental kinematic equations are introduced: VF = VI + a*t, Δx = VI*t + 0.5*a*t^2, VF^2 = VI^2 + 2*a*Δx, and Δx = (VI + VF)*t/2.
- 🎨 The chart visually organizes equations by shading the variable that is not present in each equation, aiding in the selection of the appropriate equation for a given problem.
- 🔍 To use the chart, list the given and unknown variables in a problem, then identify the missing variable to select the correct equation.
- 🚗 An example problem is solved using the chart: finding the displacement of a car given initial velocity, acceleration, and time.
- 📝 The process involves writing down all variables, filling in the known values, and using the missing variable to pick the correct kinematic equation from the chart.
- 🧮 The example calculation demonstrates how to substitute the known values into the chosen equation to find the displacement.
- 📊 The kinematics chart is a tool to help quickly determine which equation to use based on the given and unknown variables in a problem.
- 💡 The video emphasizes the importance of recognizing the variable not needed for a problem to effectively use the kinematics chart.
Q & A
What are the five kinematic variables mentioned in the video?
-The five kinematic variables mentioned are displacement (Δx), initial velocity (VI), final velocity (VF), acceleration (a), and time (t).
What are the four kinematic equations provided in the video?
-The four kinematic equations are: 1) VF = VI + a*t, 2) Δx = VI*t + 0.5*a*t^2, 3) VF^2 = VI^2 + 2*a*Δx, and 4) Δx = (VI + VF)*t / 2.
How does the video suggest determining which kinematic equation to use for a problem?
-The video suggests looking at the given and unknown variables in the problem and identifying the variable that is not needed (shaded in green in the kinematics chart) to determine which equation to use.
Why is it important to identify the variable that is not needed in a kinematic problem?
-Identifying the variable that is not needed helps to determine which kinematic equation to use because the equation that does not contain that variable is the one that can be used to solve the problem.
What does the video demonstrate through the example of a car accelerating from an initial speed?
-The video demonstrates how to use the kinematics chart to solve for displacement when given initial velocity, acceleration, and time, but not the final velocity.
How does the video explain the process of solving a kinematic problem using the chart?
-The video explains the process by first writing down all the variables, filling in the given values, identifying the unknown variable, finding the corresponding equation on the chart that lacks the unknown variable, and then solving the equation.
What is the significance of shading the displacement variable in the first kinematic equation on the chart?
-The displacement variable is shaded in the first kinematic equation on the chart to indicate that it is the variable not needed when using this equation, which helps in selecting the correct equation for a problem.
Why does the video emphasize the importance of the variable that is not asked for in a problem?
-The variable that is not asked for in a problem is emphasized because it is the key to selecting the appropriate kinematic equation from the chart, as the chosen equation should not contain that variable.
What is the final result of the example problem involving a car accelerating for 5 seconds in the video?
-The final result of the example problem is that the car travels a displacement of 62.5 meters in 5 seconds.
How does the video recommend verifying the correct kinematic equation for a given problem?
-The video recommends verifying the correct kinematic equation by ensuring that the equation aligns with the given and unknown variables, specifically by confirming that the equation lacks the variable not needed for the problem.
Outlines
📚 Introduction to Kinematics Equation Chart
This paragraph introduces the concept of a kinematics equation chart, a tool designed to assist in solving kinematic problems by identifying the appropriate equation to use based on given and unknown variables. The paragraph outlines the five fundamental kinematic variables: displacement (Δx), initial velocity (VI), final velocity (VF), acceleration (a), and time (t). It then presents four kinematic equations: VF = VI + a*t, Δx = VI*t + 0.5*a*t^2, VF^2 = VI^2 + 2*a*Δx, and Δx = (VI + VF)*t/2. The process of determining which equation to use involves identifying the variable not present in the problem and using the corresponding equation where that variable is shaded out on the chart.
🔍 Applying the Kinematics Chart to a Problem
The second paragraph demonstrates the practical application of the kinematics chart by walking through a sample problem. The problem involves a car with an initial speed of 5 meters per second accelerating at 3 meters per second squared for 5 seconds, and the goal is to find the displacement. The paragraph explains how to identify the relevant equation by looking for the missing variable (VF in this case) and then using the corresponding equation where VF is shaded. The equation used is Δx = VI*t + 0.5*a*t^2. The paragraph concludes with the substitution of the given values into the equation, resulting in a displacement of 62.5 meters after performing the calculation.
Mindmap
Keywords
💡Kinematics
💡Kinematic Equations
💡Displacement (ΔX)
💡Initial Velocity (VI)
💡Final Velocity (VF)
💡Acceleration (a)
💡Time (t)
💡Variable
💡Kinematics Equation Chart
💡Given and Unknowns
💡Substitution
Highlights
Introduction to creating a kinematics equation chart for solving kinematic problems.
Identification of five kinematic variables: displacement (ΔX), initial velocity (VI), final velocity (VF), acceleration (a), and time (t).
Listing of four fundamental kinematic equations.
Explanation of how to derive kinematic equations, with a reference to a previous video.
Step-by-step guide on analyzing which variables are present in each equation.
Visual method of shading the missing variable in each equation for easy identification.
Strategy for selecting the appropriate equation based on given and unknown variables in a problem.
Emphasis on the importance of identifying the variable not needed for the problem to choose the correct equation.
Example problem demonstrating the application of the kinematics chart.
Description of a car acceleration problem to illustrate the use of the kinematics chart.
Process of writing down all variables and filling them into the equation.
Identification of the second kinematic equation as the correct choice for the car problem.
Substitution of given values into the chosen kinematic equation.
Calculation of the car's displacement using the kinematic equation.
Final answer of 62.5 meters for the car's displacement after 5 seconds of acceleration.
Summary of the kinematic chart usage for solving kinematic problems.
Transcripts
in this video you will learn how to
create a kinematics equation chart this
will be very helpful for be able to
figure out which equation to use to
solve a particular kinematic equation
problem
first we're going to write down the five
kinematic
variables that you'll notice in these
problems so we have Delta X displacement
VI initial velocity VF final velocity a
acceleration and time
all right and then on the left hand side
we're going to write down the kinematic
equations so we have VF equals v i
plus a t
then we have Delta X
equals v i t plus one over two a t
squared
we have VF squared equals v i squared
plus 2A Delta X
and we have Delta x equals
one over two
v i plus VF
times T if you're wondering how we get
these equations you can look at my
previous video where I derive these four
kinematic equations
then the next step is to
think about what variables are in each
equation
so for the first one we have VI
we have VF we have acceleration we also
have time the one that we don't have is
the displacement so I'm going to go in
and I'm going to shade that in with my
green here okay because that's going to
be important
next I have my second kinematic equation
I have Delta X I have the displacement I
have an initial velocity at the
acceleration and I have time but what I
don't have
is the final velocity okay and we'll
come back to why this is important just
a moment we're going to fill this out
first and then next we have the third
kinematic equation and that has
displacement initial velocity final
velocity and acceleration but it doesn't
have the time
and then last one
we have
displacement initial velocity final
velocity and time but it doesn't have
the acceleration
okay so to figure out which equation to
use when you're solving a problem you're
going to look at the given and the
unknowns so you're going to write those
down
then you're going to use the variable
that's not needed to determine which
equation to use
this is the important part because the
variable that's not needed for the
problem is going to be the help us to
figure out which equation to use so
let's say for example that we were given
the initial velocity
we were given the final velocity and the
acceleration
and then we're looking for
the time so what equation would I what I
what I look would I use so what is
missing here is Delta X so if I look
through this equation I am missing Delta
X right so Delta X it's not in it's not
given it's not an unknown so for this
problem I would use the first kinematic
equation which is VF equals VI plus a t
Okay so depending on what is not given
and what is not not asked for it's not
the unknown
that is the variable you're going to
look for you're going to look for the
green shaded box and then that will tell
you which equation to use
so let's take a look at an actual
problem and try to apply our kinematics
chart so in this question it says a car
with initial speed of 5 meters per
second accelerates with 3 meters per
second squared how far does the car
travel in 5 seconds so what I like to do
first is to write down all my variables
I have Delta x v i v f
a and t okay and now I'm going to fill
them in so I know that the initial speed
is 5 meters per second I know it
accelerates at 3 meters per second
squared and the time uh the sorry the um
how we want to know how far in the time
that it travels for is five seconds okay
and we're looking for the displacement
how far does it travel
notice that the one variable that we
aren't given and we don't really care
about because they're not asking for it
is VF so I'm going to go to my chart I'm
going to look down VF and I'm going to
see that right there the f is shaded for
the second kinematic equation so that's
the equation I'm going to use so I'm
going to write that down and we'll have
Delta X
equals v i t plus 1 over 2 a t squared
now I wrote down the equation my next
step is the substitution so the I is 5
times T is five plus one over two
a is 3 and T is five so that's going to
be squared
5 times 5 is 25
times 3 times 5 squared that's
37.5 if I add that up I get 62.5 meters
and that's my displacement so once again
to use the kinematic chart you're going
to write down your given and your
unknown and whatever variable is left
over you're going to use that to find
that equation on the chart find words
highlighted and then use the equation on
the left side
thank you
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