Lab #3: Non-constant acceleration

Non-Constant Acceleration

Samuel
Ellis
Mia
9-12-2016

2.

Find how far the elephant goes before coming to rest.

3.

In calculus, when we were given position function, we take derivative of the function to find its velocity or acceleration. If we were given acceleration function, we can take the integral to find the velocity and position. In this case, the mass of rocket is changing. We can use acceleration equal force divide by mass to find acceleration.  Then use that to find its position.

 4.

1. open up a new excel spreadsheet.

2. put appropriate values in for v_o and x_o.

3. set delta t to be 1 second. put in the other appropriate values in cells B1  through B4.

4. Input a formula into cell A9 that will calculate the appropriate time, and that you can fill down. Use $B$5 into your formula, so the cell will let you calculate the acceleration at any time. Fill that formula down to cell B9.

5. Input cell C9 calculate the average acceleration for that first delta t interval.

6. In cell D9 calculate the change in velocity for the first time interval.

7. In cell E9 calculate the speed at the end of that time interval.

8. In cell F9 calculate average speed at at end of time interval.

9. In cell G9 calculate the change in position of the elephant during that time interval.

10. In cell H9 calculate the position of the elephant.

11. Change the time interval from 1 second to 0.1s and see if makes a different.

12. Change the time interval to 0.05 instead of 0.1s and see if makes a different.

5. & 6 &7

( The difference between those data is the change in time interval, and the highlighted area is for time = 1, 0.5,0.01. and we got 248, 248,248)

8.

In conclusion, we had used integral to find the displacement for elephant, by putting data into excel and create bunch function. Then we change the time interval to see if it will make the different, the answer is NO.