Recent Changes

or change in X=1/2at^2 + Vit
also:
x time squared
or change X=1/2V x t^2t
THE STEPS:
Taking the information given, these immediate conclusions can be made:
velocity= 3
Here, again time needs to be found.
3 x t^2t
18.83 = 1.5 x t^2t
12.553 = t^2
t=3.543t
The time other is 3.54312.553 seconds.
THE ANSWER:
Car BA will reach before Car A.B, even though Car A has a larger distance to cover. This is due to its acceleration.
`

Starting the cars at these positions, who will get across the intersection first? How long does it take each vehicle?
THE FORMULA:
changeThese formulas can be used to figure the time an object takes to cover a certain area, change in X=(1/2position and velocity being known.
change in distance=(1/2 acceleration x
or change in X=1/2at^2 + Vit
also:
Change in distance=1/2 velocity x time squared
or change in X=1/2V x t^2
THE STEPS:
Taking the information given, these immediate conclusions can be made:
- Car A will have 24 meters to travel (length of car+distance from stop sign to intersection, 4.6+19.4).
-Car B will have 18.83 meters to travel (length of car+distance form one side of the intersection to the other, 4.6+14.23)
The distance of the car must be taken into account because the car is not fully out of the intersection until its end has passed the curb on the opposite side.
Car A:
change in X= 24
acceleration= 2.237
initial velocity= 0
Time is the variable that needs to be found.
24=1/2 2.237t^2 + 0t
24=1.1185t^2 + 0
21.457=t^2
t=4.632
The time it takes Car A to reach the other side of the intersection from the stop sign is 4.632 seconds.
Car B:
change in X= 18.83
velocity= 3
Here, again time needs to be found.
18.83=1/2 3 x t^2
18.83 = 1.5 x t^2
12.553 = t^2
t=3.543
The time it takes Car B to cross from one side of the intersection to the other is 3.543 seconds.
THE ANSWER:
Car B will reach the other side of the intersection before Car A.
`

Using the operations of sine, cosign or tangent, if one of the other angles of the triangle is known (like the distance from the earth to the sun) and the angles have been found, the distance from the earth to the star is able to be calculated.
The Intersection
THE SITUATION:
One way to test one's knowledge of velocity is to apply it to a situation.
Let's say we have an intersection. Car A is stopped at a stop sign at the intersection's edge, waiting for its chance to go. The cross-traffic is traveling on the street perpendicular to Car A at a constant speed of 3 meters per second. All cars are 4.6 meters long.
The closest car in the cross traffic, Car B, is right with its front at the edge of the intersection and is going 3 meters per second. Car A is positioned with its front right at the stop sign. It is stopped, but has an acceleration of 2.237 meters per second per second.
Starting the cars at these positions, who will get across the intersection first? How long does it take each vehicle?
THE FORMULA:
change in X=(1/2 acceleration x time squared) + (initial velocity x time)
or change in X=1/2at^2 + Vit
`

"The parallax angle, P, is measured by comparing the nearby star's position to the stable position of distant background stars."
Basically, the astronomers use the known characteristics of triangles to determine the angles and therefore distances of the triangles created by the points of observation, the star being observed, and the distant stars being used as background reference points.
the sun) ansand the angles
The Intersection
One way to test one's knowledge of velocity is to apply it to a situation.
an intersection. Car A is stopped at a stop sign at the intersection's edge, waiting for its chance to go. The cross-traffic is traveling on the street perpendicular to Car A at a constant speed of 3 meters per second. All cars are 4.6 meters long.
The distance across the intersection, from curb to curb, is 14.23 meters.
The distance from the stop sign to the opposite curb is 19.4 meters.
The closest car in the cross traffic, Car B, is right with its front at the edge of the intersection and is going 3 meters per second. Car A is positioned with its front right at the stop sign. It is stopped, but has an acceleration of 2.237 meters per second per second.
Starting the cars at these positions, who will get across the intersection first? How long does it take each vehicle?
`

Using the operations of sine, cosign or tangent, if one of the other angles of the triangle is known (like the distance from the earth to the sun) ans the angles have been found, the distance from the earth to the star is able to be calculated.
The Intersection
One way to test one's knowledge of velocity is to apply it to a situation.
Let's say we have an intersection.

Basically, the astronomers use the known characteristics of triangles to determine the angles and therefore distances of the triangles created by the points of observation, the star being observed, and the distant stars being used as background reference points.
Using the operations of sine, cosign or tangent, if one of the other angles of the triangle is known (like the distance from the earth to the sun) ans the angles have been found, the distance from the earth to the star is able to be calculated.
The Intersection

This is the physics portfolio of Katie Martin.
Intro to motion.Motion
My partner and I were asked to brainstorm some ways of describing motion. Off the tops of our heads, we thought of:
-Is there a pattern to the object's movement?
-an x-t graph is a more quantitative way of representing data. When representing movement, units of measurement are given for distance (typically x-axis) and time (typically y-axis). The slope of the data, or the difference between the points, is the speed.
-Advantage: Data can be quantitatively displayed.
the slope of the entire data represents average the object itself moved upwards and to the right.right, but that the object increased in speed as time when by. X-t graphs of this website):website and Excel):
Graph A: Constant Speed
{http://nces.ed.gov/nceskids/createagraph/graphwrite.asp?ID=bde6a950dcac453a94cdeea1feae411a&file=png} Preview of your graph
{Workbook2.xlsx}
This graph reflects a v-t version of the x-t graph above of constant speed. The x axis is time in seconds. The y axis is meters per second, which, on this graph, remains consistently at 5 meters per second.
no motion occurred.occurred and that there was no speed. On a but stayed constant.constant, which means that the speed is increasing at a constant rate. Through this
{Workbook3.xlsx}
in a straightdiagonal line that does not curve because the
On an x-t graph, data in this shape would suggest that the object was moving at a constant speed, but on a v-t graph, the data shows that the velocity of the object was increasing at a constant rate. Despite the differences in their shapes, both graphs accurately portray the same object's motion.
Note to Mr. Todd: Some of the graphs are from a graph-making website, but it got all gross and glitchy, so some of them are represented by Excel documents.
Relative Motion
We had a class assignment to create a video portraying relative motion and think of some "deep" questions to ask the class upon presentation.
2. How does the motion differ from the person in the background to the two spinning girls?
3. Describe the motion of the spinning girls in relation to each other and in relation to the creeper in the background.
After viewing and discussing the situation with the class, it was decided that:
1. Two of the girls are spinning in a single circle, while one is walking in a straight line, getting closer to them for the first portion of the video, and then passing them and getting continually farther away.
2. Their motion differs in that the spinning girls travel in the same path for the duration of the video, the walking girl's path takes her forward onto new ground.
3. Relative to each other, the spinning girls are not moving because the distance between them is not changing as they spin. The girl in the background, however, gets closer and then farther away to the spinners, changing the distance between them and therefore moving relative to them.
This Thing You Call "Relative Motion"
So we did the project and whatnot, but what does it mean? And why does it matter?
How does it affect science?
To quote from this website:
appear quite complicated in the laboratory frame of reference of an observer on Earth. Bycomplicated...By transferring to
Basically, it helps us to better understand the motion of objects by being able to use different reference points to perceive it.
Parallax

2. How does the motion differ from the person in the background to the two spinning girls?
3. Describe the motion of the spinning girls in relation to each other and in relation to the creeper in the background.
Some relevant but disorganized thoughts:
-Say the distance between the spinning girls is unchanging as they rotate. Are they moving compared to each other, then?
-Does this mean that Andrea-Creeper the only one moving relative to the spinning girls?
Things to ponder.
This Thing You Call "Relative Motion"
So we did the project and whatnot, but what does it mean? And why does it matter?
HOWEVER. This does not mean that neither car was moving--relative to other things.
Think of all the things that the cars' distances are increasing or decreasing from--the point in the parking lot at which they began driving, a sign that they pass by on the road, a hitchhiker left in the dust. So many possibilities.
they are bothingboth moving relative
And...why does it matter? Because all motion is relative. Without an object to compare it to (a zero), it is impossible describe (much less perceive) the motion of another object. Graphs cannot be made. Measurements cannot be taken. And the nice thing is, if you've ever described the motion of anything, you've been using the idea of relative motion your whole life without even realizing it.
How does it affect science?

The difference between the plotted points is consistently 5 over 1, meaning that the slope and therefore the speed of the object is constant. Its shape is due to the fact that the object moves the same number of meters each second as time goes by.
Graph B: Increasing Speed
{Workbook4.xlsx}
In this graph, the object in motion increases by changing amounts. From 0 to 1 seconds, the object moves 0.5 meter. From 1 to 2 seconds, the object moves 1 meters, and from 2 to 3 seconds, the object moves 1.5 meters. The distance between the rest of the points increases by 0.5 meters for each second. From this we know that the slope is not staying the same over time, but increasing, meaning that the speed of the object is increasing over time as well. The shape of the graph is due to the fact that the object is moving more meters per second as time goes by.
Graph C: Decreasing Speed