Friday, September 30, 2016

7-Sep-2016: Non-Constant acceleration problem/Activity

Non-constant acceleration problem/Activity
Jae Yoo
9/7/16
partners: John Demontano, Shawn Mazzio

Purpose
To understand the convenience of how excel can calculate solutions from difficult and tedious problems

Procedure
A problem is given
A 5000-kg elephant on frictionless roller skates is going 25 m/s when it gets to the bottom of a hill and arrives on level ground. At that point a rocket mounted on the elephant's back generates a constant 8000 N thrust opposite the elephant's direction of motion.
The mass of the rocket changes with time (due to burning the fuel at a rate of 20 kg/s) so that the
m(t) = 1500 kg - 20 kg/s*t
Find how far the elephant goes before coming to rest

The given answer for the problem was at x = 248.7m when t = 19.69s


We are going to plug these equations into excel (we got them from the professor)

Data/Results/Analysis

The picture above is where we plugged all the given information into excel


This picture is where we found change of position becomes 0m for change of t is 0.1s


This picture is where we found change of position becomes 0m for change of t is 0.05s

Conclusions
1. Our t is between 19.6s and 19.7s and x is between 248.692m and 248.698m when change in t is 0.1s
And when change in t is 0.05, t is between 19.65s and 19.7s and x is between 248.697m and 248.698m
It was very close from the given answer of x = 248.7m when t = 19.69s

2. We can decide it is small enough for the time interval when we do not see much difference in results.

3. 
178.17m

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