Reference Guide

Equation Reference 5-35
Linear Motion (8, 1)
Equations:
x x0 v0+ t⋅
1
2
---
+ a t
2
⋅ ⋅= x x0 v+ t⋅
1
2
---
+ a t
2
⋅ ⋅=
x x0
1
2
---
+ v0 v+( ) t⋅ ⋅=
v v0 a+ 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:
y y0 v0+ t⋅
1
2
---
+ g t
2
⋅ ⋅= y y0 v+ t⋅
1
2
---
+ g t
2
⋅ ⋅=
v
2
v0
2
2 g⋅+ y y0+( )⋅=
v v0 g+ 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
y
0
v
0
+
S
I
N
θ
0
( )
t
⋅
⋅
1
2
-
-
-
–
g
t
2
⋅
⋅
=
v
x
v
0
C
O
S
θ
0
( )
⋅
=
v
y
v
0
S
I
N
θ
0
(
)
g
t
⋅
–
⋅
=
R
v
0
2
g
-
-
-
-
-
-
-
-
S
I
N
2
θ
0
⋅
(
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=