{"text_format":"1","workbook":"xlsx","n_sheets":3,"sheets":["Function","Cannon Shell","Life"],"not_rendered":{"charts":1,"images":2,"macros":1,"external_links":0,"defined_names":4,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Function","index":0,"n_rows":32,"n_cols":10,"rows_kept":32,"cut":false,"hidden":false,"merged":[]}
["x","Square",null,null,null,null,1]
[1,{"$f":"3*Square(A2+1)","v":12},null,null,null,null,2]
[2,{"$f":"2*Square(A3+1)","v":18},null,null,null,null,3]
[3,{"$f":"2*Square(A4+1)","v":32},null,null,null,null,4]
[]
[]
["x1","y1","x2","y2","Distance"]
[0,0,1,1,{"$f":"Distance(A8,B8,C8,D8)","v":1.4142135623730951}]
[]
[]
[]
[]
[]
[1,2,3,4,5,6,7,8,9,10]
[]
["Sum"]
[{"$f":"SUM(A14:J14)","v":55}]
[]
[]
[10,5,4,1,2,8,6,9,7,3]
[]
["N","Top","Bottom","Middle"]
[1,{"$f":"TopSUM($A$20:$J$20,A23)","v":10},{"$f":"BottomSum($A$20:$J$20,A23)","v":1},{"$f":"SumMiddle($A$20:$J$20,A23)","v":44}]
[2,{"$f":"TopSUM($A$20:$J$20,A24)","v":19},{"$f":"BottomSum($A$20:$J$20,A24)","v":3},{"$f":"SumMiddle($A$20:$J$20,A24)","v":33}]
[3,27,6,22]
[4,34,10,11]
[10,55,55]
[]
[]
["First","Last","Sum"]
["C14","E14",{"$f":"MySum2(A31&\":\"&B31)","v":12}]
[null,null,{"$f":"MySum2(\"A20:E20\")","v":22}]

{"sheet":"Cannon Shell","index":1,"n_rows":800,"n_cols":14,"rows_kept":800,"cut":false,"hidden":false,"merged":[]}
["Constants"]
["dT",{"$f":"0.5","v":0.5},"secs"]
["Gravity",{"$f":"32.17","v":32.17},"ft/sec/sec",null,null,null,"Label",{"$f":"\"Trajectory:\"&B10&\"@\"&B7&\"°\"","v":"Trajectory:1214@13.1°"}]
[]
["Inputs"]
["Angle",131,null,null,"[0,90]"]
["(degrees)",{"$f":"B6/10","v":13.1},null,null,"Step= .1"]
[]
["Speed",1214,null,null,"[0, 2000]"]
["(ft/sec)",{"$f":"B9","v":1214},null,null,"Step = 1"]
[]
["Target X",10000]
["Target Y",2000]
[]
["Time","X(Time)","Y(Time)"]
[{"$f":"0","v":0},{"$f":"0","v":0},{"$f":"0","v":0}]
[{"$f":"$B$2+A16","v":0.5},{"$f":"IF( C17<0,B16, NewX(B16,speed,angle,dT) )","v":591.20341213838435},{"$f":"IF(C16<0,-1,NewY(C16,speed,angle,Gravity,A17,dT) )","v":129.534843614171}]
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[6,{"$f":"IF( C28<0,B27, NewX(B27,speed,angle,dT) )","v":7094.4409456606109},{"$f":"IF(C27<0,-1,NewY(C27,speed,angle,Gravity,A28,dT) )","v":1023.6131233700519}]
[6.5,{"$f":"IF( C29<0,B28, NewX(B28,speed,angle,dT) )","v":7685.6443577989949},{"$f":"IF(C28<0,-1,NewY(C28,speed,angle,Gravity,A29,dT) )","v":1056.6379669842229}]
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[17.5,{"$f":"IF( C51<0,B50, NewX(B50,speed,angle,dT) )","v":19509.712600566676},{"$f":"IF(C50<0,-1,NewY(C50,speed,angle,Gravity,A51,dT) )","v":-1}]
[18,{"$f":"IF( C52<0,B51, NewX(B51,speed,angle,dT) )","v":19509.712600566676},{"$f":"IF(C51<0,-1,NewY(C51,speed,angle,Gravity,A52,dT) )","v":-1}]
[18.5,{"$f":"IF( C53<0,B52, NewX(B52,speed,angle,dT) )","v":19509.712600566676},{"$f":"IF(C52<0,-1,NewY(C52,speed,angle,Gravity,A53,dT) )","v":-1},null,"What is the minimum speed for a cannon shell to reach the target, "]
[19,{"$f":"IF( C54<0,B53, NewX(B53,speed,angle,dT) )","v":19509.712600566676},{"$f":"IF(C53<0,-1,NewY(C53,speed,angle,Gravity,A54,dT) )","v":-1},null,"and what is the angle to shoot the cannon at that speed."]
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[31.5,{"$f":"IF( C79<0,B78, NewX(B78,speed,angle,dT) )","v":19509.712600566676},{"$f":"IF(C78<0,-1,NewY(C78,speed,angle,Gravity,A79,dT) )","v":-1}]
[32,{"$f":"IF( C80<0,B79, NewX(B79,speed,angle,dT) )","v":19509.712600566676},{"$f":"IF(C79<0,-1,NewY(C79,speed,angle,Gravity,A80,dT) )","v":-1}]
[{"$f":"$B$2+A80","v":32.5},{"$f":"IF( C81<0,B80, NewX(B80,speed,angle,dT) )","v":19509.712600566676},{"$f":"IF(C80<0,-1,NewY(C80,speed,angle,Gravity,A81,dT) )","v":-1}]
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[38,{"$f":"IF( C92<0,B91, NewX(B91,speed,angle,dT) )","v":19509.712600566676},{"$f":"IF(C91<0,-1,NewY(C91,speed,angle,Gravity,A92,dT) )","v":-1}]
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[42,{"$f":"IF( C100<0,B99, NewX(B99,speed,angle,dT) )","v":19509.712600566676},{"$f":"IF(C99<0,-1,NewY(C99,speed,angle,Gravity,A100,dT) )","v":-1}]
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