Expression 17: "f" left parenthesis, "x" , right parenthesis equals left parenthesis, tan theta Subscript, 0 , Baseline , right parenthesis "x" minus StartFraction, 10 Over left parenthesis, 2 "v" squared left parenthesis, cos theta Subscript, 0 , Baseline , right parenthesis squared , right parenthesis , EndFraction "x" squared left brace, 0 less than or equal to "x" less than 500 , right bracefx=tanθ0x−102v20cosθ02x20≤x<500
17
Expression 18: "g" left parenthesis, "x" , right parenthesis equals StartFraction, "d" Over "d" "x" , EndFraction "f" left parenthesis, "x" , right parenthesisgx=ddxfx
18
a에서의 접선 방정식. 녹색점을 움직이면, 각 위치에서의 접선을 볼 수 있습니다. 접선의 기울기는 수직 속도를 의미합니다.
19
Expression 20: "y" equals "g" left parenthesis, "a" , right parenthesis left parenthesis, "x" minus "a" , right parenthesis plus "f" left parenthesis, "a" , right parenthesisy=gax−a+fa
20
Expression 21: "a" equals 6.8a=6.8
negative 10−10
9090
21
Hidden Label: left parenthesis, "a" , "f" left parenthesis, "a" , right parenthesis , right parenthesisa,fa
Label
22
최고점 도착 시간 t_H
23
Expression 24: "t" Subscript, "H" , Baseline equals StartFraction, "v" Subscript, 0 , Baseline left parenthesis, sin theta Subscript, 0 , Baseline , right parenthesis Over 10 , EndFractiontH=v0sinθ010
equals=
1.4 1 4 2 1 3 5 6 2 3 71.41421356237
24
최고점 높이 H
25
Expression 26: "H" equals StartFraction, "v" squared left parenthesis, sin theta Subscript, 0 , Baseline , right parenthesis squared Over 20 , EndFractionH=v20sinθ0220
equals=
1010
26
최고점 높이 left parenthesis, StartFraction, "R" Over 2 , EndFraction , "H" , right parenthesisR2,H
Label:
27
수평도달거리 R
28
Expression 29: "R" equals StartFraction, left parenthesis, "v" squared sin 2 theta Subscript, 0 , Baseline , right parenthesis Over 10 , EndFractionR=v20sin2θ010
equals=
4040
29
수평도달거리 left parenthesis, "R" , 0 , right parenthesisR,0