40
o
y
(0,0)
x
We have,
=
vo 180ftsec
=
θ 40o to the horizontal
Velocity in ydir
n
:
=
vy vosinθ
Velocity in xdir
n
:
=
vx vocosθ
Parametric equations that describe the position of the ball as a function of time
After time t, using the equation of motion
=
+
s ut 12at2
for both x and ydir
n
:
Motion in y dir
n
is given by:

=

y yo vosinθt 12gt2
Motion in x dir
n
is given by:

=(
)
x xo
vocosθ t
The ball was hit 3 ft off the ground.
=
yo 3 ft
Motion in y dir
n
is given by:
 =

y 3 vosinθt 12gt2
..................
[1]
Motion in x dir
n
is given by:
=(
)
x
vocosθ t
...................
[2]
Duration for which the ball was in the air
Let ball was in the air for a time
tf
Using equation [1] at
=
y 0
we get:
 =

0 3 vosinθtf 12gtf2
 =

3 vosinθtf 12gtf2

.
 =
16tf2 115 7tf 3 0
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 Spring '11
 Prof.Ramachandran
 Equations, ........., Parametric equation, Baseball rules

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