Wednesday, September 15, 2010

Car Crash Analysis

Click here for full-size

ACCELERATION

The acceleration of the passenger during the car crash can be found by using the slope of the velocity over time graph or by using the derivative of that same graph. By looking at the slope of the velocity over time graph (Box A), you are able to see that a(t) = 1.235 m/s^2

VELOCITY

The velocity is the bottom graph so to find the total velocity, you just need to find the average velocity, which we will find in between 5 and 5.5 seconds. If you look at the mean (Box B), it is -.5571, so the average velocity is -.5571m/s. Another way you can find velocity is by finding the slope of the position over time graph. If you look at the slope of the position over time graph (Box C), the slope is -.5685 m/s, which is almost the exact same as our other slope.

POSITION

The position of the passenger is also represented on the other graph, which is position over time, and the way to find position is by using the position function, which is (Box D) x(t) = .4851^2 - 5.726t + 18.71. One way you can now any time t by plugging in any time and receiving the position back through the equation. Also, position is also the area of the velocity of time graph (Box E), which you find out is -.3083 m. Another way you can find the position is by finding the difference (Box F) of the minimum (2.006) and maximum (2.304), which is practically the same answer we found in the last equation.

WOULD I OWN A MINI?

I would have to say that if I had a choice, i would not own a Mini Cooper. Not only is the car a disgrace to manhood in itself, but it is also to small to withstand a wreck with like a truck or exhibition. Lastly, the Mini Cooper is just not a car I would own honestly because I am someone who likes to drive the big trucks and ford exhibitions and such. That is why in the near future, I do not see a Mini Cooper in my driveway with my license plate on the grill.

Mini Cooper Mosaic