8/18/2019 Equations White

1/1

a=rise

run=

vf −vi

t f −0

tanθ= A  y

 A  x

 A=√  A x2+ A y

2

∆ y=v y ,i t +1

2g t 

2

v y , i2=v  y, i

2+2g ∆ y

Start withv y , f =v y ,i+g t 

Knowing that v y , f =0m s−1

,

t =v y , f −v y ,i

g  =

−v y ,i sinθ

g

Substituting into:

h=∆ y=v y ,i t + 12

g t 2

For t and v y , i  gives

h=vi sinθ (−v y ,i sinθg   )+12 g (−v y ,i sinθ

g   )2

h=−g( v y ,i sinθg   )2

+1

2g (−v y ,i sinθg   )

2

h=−−v i

2

sin2

θ

g  +

vi2

sin2

θ

g

h=−v i

2sin

2θ

2g