Wednesday, March 15, 2017

8 - March - 2017 Non-Constant Acceleration Problem

James Okamura
Daniel Guzman
Alejandro Rodriguez
March 8, 2017

Objective:
In this lab, we were trying to determine the distance the object goes before coming to rest in respect to non-constant acceleration.


The initial mass is the mass of the elephant and the rocket on the elephant's back which is 6500 kg.
The initial velocity represents what velocity the elephant started with which is 25 m/s.
The burn rate is how fast the fuel burn in respect to time which is 20 kg/s.
The force represents the thrust that the rocket goes against which is opposite to the elephant's motion which is -8000 N.
The Delta T (change in time) represents the time in which everything take place in intervals of 0.10 s.
The acceleration is the deceleration the elephant has to experience so that the elephant can stop its motion with the help of the rocket, before going over the cliff, it is represented by the equation above.

There are two ways to solve this problem, the first way is to take the integral of the acceleration equation. 



Another way in solving this problem is by using Excel Spreadsheets. 



The first table is with respect to the change in time to be 0.1 second and the second table is with respect to change in time to be 0.05 seconds. When doing this method we would find the area under the slope which is delta V, and when time is small enough, it will not change. This let us know that the elephants is gradually slowing down and coming to rest which will help us determine his position from the origin which is 2.48 m.

In this lab I learned that, there are two ways in doing any calculations in lab. One way is to do it the analytical way which would involve taking the integrals and doing everything by hand. The other way is that we can use Excel Spreadsheets to make our lives by doing all the calculation for us.





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