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Using formulas, absolute addresses, and x-y plot:

Supplies are dropped from the airplane to land at a certain point. Velocity of the package at release from the airplane is the speed of the airplane, v0x=200ft/s. Acceleration of the package due to gravity isay = -32.2 ft/s2. The displacement in the y direction can be found using the following equation: y - y0 = v0yt + ½ayt2.  The final position of the package (y) is on the ground, and y0 represents the height of the plane when the package is dropped. Initial velocity in the y direction (v0y) is zero.  Hence the equation becomes: y = y0 + ½ayt2.

The distance the package travels in the x direction can be found from the equation: x - x0 = v0xt + ½axt2.  The final position of the package (x) is measured from the initial position (x0).  If x0 is taken as zero, and if the plane is traveling at a constant speed (ax is zero), then the equation becomes: x = v0xt.
Solve this problem using Excel (it may help to print this page and cross off the directions as you complete them).

1) Create the table for the initial data:

i.  In cell B2 put the label “Plane height:”
ii. In cell C2 put the initial height of the plane in feet (ft):  300
iii. In cell B3 put the label “Acceleration (g):”
iv. In cell C3 put the acceleration of gravity in ft/s^2:  -32.2
v. In cell B4 put the label “Velocity:”
vi. In cell C4 put the velocity in ft/s: 200
vii. In cells D2, D3, and D4, place the appropriate units

2) Create the table for the data and calculations:

i. In cells B6, C6, and D6 respectively, put the labels “t”, “x”, and “y”.
ii. In cell B7, enter the initial time: 0
iii. Increment the time in ½-second intervals in column B, from B8 to B16.
iv. Center all of the labels and data in columns B, C, and D, adjust column widths as necessary.
v. Enter the formulas to find out 1) x in cell C7 and 2) y in cell D7.
vi. Copy the formula from C7 to C8 through C16 and from D7 to D8 through D16.
vii. Format the numbers in the y column to one decimal point.

3) Create separate graphs of 1) “x vs. t” and of 2) “y vs. t”.  Using the “x vs. t” graph as an ex:

i. Choose the x data (C7:C16), and then select the “line with markers” plot type.
ii. To add the time on horizontal axis, right-click on the chart and select “Select Data…”.  In the “Select Data Source” dialog box, select “edit” for the Horizontal (Category).  In the next dialog box, simply select (drag the mouse over) the time data (B7:B16).
iii. Add major vertical gridlines, chart titles, and axis labels using the buttons under the “Layout” tab.  Include the correct units in the axis titles and rotate the vertical axis title to the horizontal.
iv. Remove the “series” labels from these two charts (Layout/legend).
v. Do these steps again for the “y vs. t” graph.

4. Create graph of “x and y vs. t”

i. highlighting the x and y data before choosing the chart type or by copying and modifying one of the existing charts using the “Select Data…” command.
ii. alter the series labels to read “x” and “y” or “horizontal distance” and “vertical distance”.
iii. Add the suitable chart title and axis labels.

5) Use trial and error:

i. alter the values in the “t” column to find out, by trial and error, the time at which the package hits the ground.
b. Using the “Goal Seek” tool:
i. Goal Seek can be found under the “Data” tab, “What-If Analysis” button.
ii. To use goal seek, open the Goal Seek dialog box: Set cell:  D16, To Value: 0, By changing cell: B16.
iii. Record the answer in B18, then return the spreadsheet to its initial configuration.

prepare the memorandum to the instructor which describes the data tables and the graphs. Don't refer to “cell B18” or any other cell (When looking at data table in the Word document, how can you locate cell D9?).

1) Copy and paste graphs (3) and the data tables into the Word document.  It is recommended that you paste data tables and each graph separately as a Picture (Windows or Enhanced Metafile).  Don't paste the data or the graphs as a Graphic Object, or as an Excel Object (use “Paste Special” found under “Paste” on the Ribbon). Make use of suitable titles or captions.

2) Describe each graph and data table. In the text, refer to each graph and table using suitable labels.

3) Describe the number (time) got by using the “Goal Seek” function.

4) Carefully arrange the text, data tables and charts to print correctly (Print Preview).

5) Insert page numbers and a header if you have multiple pages.

Mechanical Engineering, Engineering

• Category:- Mechanical Engineering
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