1
;
nn
dy
yx nx
dx
Motion in One Dimension
;; ;
avg av g
dx dv x v
vav a
dt dt t t
Motion with Constant Acceleration
o
vv at 2
1
2
oo
x
xvt at
22
2( )
oo
vv axx 1()
2
oo
x
xvvt 2
1
2
o
x
xvt at
Free Fall 2
g; 9.80 /gams
Vector Multiplications
cos sinab ab a b ab
Motion in Two Dimensions
;
dr dv
va
dt dt
ˆˆ
rij
x
y
2
1;
2
oo o
r r v t at v v at
Projectile Motion
0
x
a 2
9.80 /
y
ams
cos
x
oo
vv
sin
yo o
vv gt
cos
oo o
x
xv t
2
g
1
sin 2
oo o
yy v t t
Uniform Circular Motion
2
r
v
ar
2r
Tv
Relative Motion
PA PB B A
vvv
Formula Sheet for Phys101-151-First Major
