Alex+And+Sam

__**Group Members:**__ Sam and Alex __**Goal:**__ Is 5 minutes an efficient time for a passing period?

__**Procedure:**__
 * 1) Measure the distance from 4th period U.S. History to 5th period Physics.
 * 2) Figure out walking and accelerated speed- distance/time
 * 3) Determine how much time it would take to walk that distance

__**Factors:**__ Crowded hallways Bathroom Teacher lets out late

Begin my measuring distance from U.S to physics in meters.

__**Materials needed:**__
 * Meter stick
 * Tape measure
 * Stop watch

__**Data:**__ Meters from U.S History to Physics- **186 meters**

__**Time:**__ Slow pace- **4 minutes 27 seconds** Average pace- **3 minutes 20 seconds** Fast Pace- **2 minutes 37 seconds**

__**Calculations:**__ velocity = change in distance/change in time

4.27 x 60 = 256 seconds 186m / 256 = 0.726563 m/s
 * SLOW:**

3.20 x 60 = 192 seconds 186m / 192 = 0.96875 m/s
 * AVERAGE:**

2.37 x 60 = 142.2 seconds 186m / 142.2 = 1.30802 m/s
 * FAST:**

Using the "fast pace" we determined our miles per hour 1.308m/1second x 1mile/1609m x 3600seconds/1hour = 2.926mph

We determined that with walking 2.926 mph for 2 minutes and 37 seconds, we burned 19 calories. We converted calories to Joules because we know that there are 4.16 Joules in 1 calorie. So then, we multiplied our 19 calories and found out that the total number of joules we burned is **79.53 Joules.** We know that 79.53 Joules is our change in kinetic energy, also known as our work.

With out work determined, we can determine the power in watts by doing work/distance.

79.53 divided by 157 seconds equals **0.5065 watts per second**.

To further better our project, we decided to incorportate vectors and our overall displacement. We walked the distance from U.S History to Physics again and determined our vectors as follows:


 * 114 meters E****ast**
 * 64 meters North**
 * 1 meter West**
 * 7 meters South**

By adding our vectors, we determined that we walked 57 meters north and 113 meters east. Then, by using the pythagorean theorem we determoined that our overall displacement is **126.562 meters** Finally to conclude our project, we dsetermined our final velocity by doing displacement/time which comes out to be.. 126.562/157 seconds = **0.806 meters/second!** For our lab we decided to test if the 5 minute passing period was a reasonable time to get to class. We found that technically the 5 minutes is a reasonable time to get to class. To find out if the 5 minutes was a reasonable time we had to first measure the distance from Alex’s U.S. History class to our Physics class. We found that distance to be 186 meters. Then used a stop watch and walked from the History class to our Physics class. We walked it 3 times and different paces, slow, normal, and fast. We found that it took 4 minutes and 27 seconds at a slow pace, 3 minutes and 20 seconds at a normal pace, and 2 minutes and 37 seconds at a fast pace. Next, we had to find our speed for each of the paces. For the slow pace we had to do the distance divided by the time. We got 0.726 m/s. For the average pace got 0.968 m/s. And for the fast pace we got 1.30 m/s. Then we had to convert that to miles per hour. We did 1.308m/1second x 1mile/1609m x 3600seconds/1hour = 2.926mph. We found that with walking 2.926 mph for 2 minutes and 37 seconds, we burned 19 calories. We converted the 19 calories to Joules and got 79.53 Joules to be our energy output. We then converted our energy output to watts by doing 79.53 Joules divided by 157 seconds and got 0.5065 Watts per second as our power output. We then used vectors to determine our displacement and we found our displacement was 126.562 meters. And found our velocity to be 0.806 m/s. We have found that the 5 minute passing period is reasonable to get from class to class. Although it does not leave much time if you need to go to the bathroom, if there is a lot of traffic in the halls, or you if you get let out late. You are not going to be able to keep your velocity constant with other people in the halls; therefore, you may not be able to get to class in time. We think that the passing period should be increased by 2 minutes to account for the traffic in the halls, going to the bathroom, and teachers letting out late.
 * __Conclusion:__**