FOOTBALL AND FUNCTIONAL DEPENDENCE

TASK:

A Football player passes the ball to his teammate.Determine on what depends the length of the flight of the ball.

40

L

h

3045

60

Yox=Vo cos

VOY=VO sin

y

Vo

Voy

xVox

SOLUTION:

At max h => Vy =0 Vy =V0 sin - gt = 0

=> traising = V0 sin _______________

g

t flight =2 t raising

L= x = (V0 cos ) t flight

2

L= V0 cos 2 V0 sin = V0 2 sin cos _______________________ _____________________________________________

g g 2

L= V0 sin 2 _________________________

g

The length of the flight 2

depends on the targeted initial speed V0

and on the value of angle

Lmax => sin2 =1 => 2 =90 => =45

At V0 =20 m/s Lmax=40m

Comment: (the air resistance is neglected)

Stanislava Ivanova,Plamena Taneva andManoela Dineva from12a Class of 2010 y.

Teacher: Margo MalinovaSchool: SOU ”Zheleznik”Stara ZagoraBulgaria