Equation Reference 5-35
Linear Motion (8, 1)
Equations:
xx0v0+t⋅
1
2
---
+at
2
⋅⋅=xx0v+t⋅
1
2
---
+at
2
⋅⋅=
xx0
1
2
---
+v0v+()t⋅⋅=
vv0a+t⋅=
Example:
Given: x0=0_m, x=100_m, t=10_s, v0=1_m/s
Solution: v=19_m/s, a=1.8_m/s^2.
Object in Free Fall (8, 2)
Equations:
yy0v0+t⋅
1
2
---
+gt
2
⋅⋅=yy0v+t⋅
1
2
---
+gt
2
⋅⋅=
v
2
v0
2
2g⋅+yy0+()⋅=
vv0g+t⋅=
Example:
Given: y0=1000_ft, y=0_ft, v0=0_ft/s
Solution: t=7.8843_s, v= -253.6991_ft/s.
Projectile Motion (8, 3)
Equations:
Example:
Given: x0=0_ft, y0=0_ft,
Θ
0 =45_°, v0=200_ft/s, t=10_s.
Solution: R=1243.2399_ft, vx=141.4214_ft/s, vy= -180.3186_ft/s, x=1414.2136_ft, y= -194.4864_ft.
x x 0 v 0 + C O S
⋅
θ
0
( )
t
⋅
=
y y0 v0+ SI
θ
0
( )
t
⋅ ⋅
1
2
---
g t
2
⋅ ⋅
=
v x v 0 C O S
θ
0
( ) ⋅
=
v y v0 SI
θ
0
( )
g t
⋅
⋅
=
v 0
2
g
- - - - - -- -
S I
2
θ
0
⋅ ( ) ⋅
=