Speeding Up... and slowing down.....and changing direction........ 1/28/18

Image:
Khan Academy


Summary: 
If you were walking down the street and turned right, did you accelerate? While most people would say no, change in direction is, in fact, a form of acceleration. Acceleration doesn't just mean increasing speed, it is change in velocity. The formula for acceleration is change in velocity divided by time and it is measured in units of distance units of time squared. An example of this would be 60 meters per second squared. Acceleration is a vector quantity because direction plays a factor in acceleration. (Vector quantities are measured as magnitude with direction.) Like mentioned before, people assume acceleration has an association with the term 'speeding up' although this is not the complete definition. Even slowing down is considered acceleration, although more often than not it is referred to as deceleration.

S&EP-Using Mathematics:
When people think of science, most people see lab work and experiments, but lately, through all our labs, I have been using math as a means of collecting and interpreting the data I've collected. For instance, I used math to find all the average velocities during the acceleration lab. I did so by adding all the velocities together and dividing by the number of velocities there were. In addition, I used the formula of change in velocity over time to find acceleration. While working with both speed and acceleration graphs I used to rise over run to calculate the slope of the line. Also, while trying to find time, distance, or velocity in a graph I used the formula y = mx + b. Lastly, I used the Pythagorean Theorem, a squared + b squared = c squared to solve for displacement. Although I didn't use all of these this week, I used a majority of them, which made me realize how much math and science intertwine, especially when studying physics.

XCC-Structure and Function:
Acceleration graphs tell us the change, whether increase or decrease, of the speed of an object. This graph can tell you if the speed is constant or changing based on the line plotted, but how does the structure of acceleration graphs affect its function? Well, the x-axis is time and the y-axis is velocity and if this wasn't true the whole graph would be thrown off. This is because acceleration is change in velocity over time, rise over run, really the y-axis over the x-axis meaning if velocity and time switched places on a speed graph it would be incorrect or at least hard to understand. Along with this, the structure of a graph differs from that of a speed graph in the sense the slope of the line has a different meaning. For example, if the line plotted of a speed graph is straight horizontally it means the object is not moving, whereas on an acceleration graph this would mean that the object is moving at a constant speed. This means that you have to pay close attention to the x-axis and y-axis before you determine if an object is stagnant or not. One question I still have about acceleration pertains to the graph particularly: Why is the y-axis velocity because it only shows speed, not direction?

Multiplier: 
This week I was a mutant, to be more specific a wanderer because I shared all the information I gathered with my tablemates during our labs and experiments.

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