One of the three graphing rules is that "the slope of a position vs. time graph is velocity". In physics we use position vs. time to calculate an objects velocity using the distance traveled from the starting point over a period of time the object took to get from its origin to its current point/distance. The mathematical equation for the slope is V = d/t (V is velocity, d is the distance traveled, t is the period of time, in seconds, it took to reach that distance/position from the origin). Velocity is something we experience everyday either in the car, surfing or riding a seriously intense, "make you want to puke your guts out" ride at the Punahou Carnival. One ride, I think most people will agree with, is The Zipper. When we ride The Zipper, we are moving at a rate of 7.5 RPM (sorry I couldn't find how long the cable was so I couldn't calculate the distance or the time without having to include the revolutions). 7.5 RPM is the constant velocity of The Zipper after all the cars are filled and the ride starts. Once the Zipper starts, the cars rotate between 1 to 1.25 minutes in one direction. After the time period the ride stops for a second or two than starts moving again, the initial velocity is slower but gradually rises to the same velocity as before and period of time but in a different direction. So the drawing above is of The Zipper and next to the drawing is the variables V, d, and t, and the velocity.
V=d/t
V=7.5RPM
d=18.75 revolutions
t=2.5 minutes
Hey Alexis, funny how I also wrote about a thrill ride! This was really neat to think about the ride while looking at the equations. It all makes sense! One thing you might want to add in could be change in velocity when the Zipper stops and goes in a different direction around halfway through the ride.
ReplyDeleteokay, thanks mr. blake.
ReplyDeleteFirst of all, I would just like to say that your list of top songs is PRIME! PERFECT! HIT IT RIGHT ON THE HEAD YOU LIL' ART STAR : ) Second, I was on the zipper the other night and I actually remember thinking the exact same thing! Very cool! See... physics can be fun : ) hahaha
ReplyDeletethanks, josh :D
ReplyDeleteI was trying to think of something other than cars.