1. FOOTBALL AND FUNCTIONAL DEPENDENCE

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

3. 40 L h 30 45 60

4. Yox=Vo cos V OY =V O sin y VoVo V oy x V ox

5. SOLUTION: At max h => V y = 0 V y =V 0 sin - gt = 0 => t raising = V 0 sin _______________ g t flight =2 t raising L= x = (V 0 cos ) t flight 2 L= V 0 cos 2 V 0 sin = V 0 2 sin cos _______________________ _____________________________________________ g g 2 L= V 0 sin 2 _________________________ g

6. The length of the flight 2 depends on the targeted initial speed V 0 and on the value of angle Lmax => sin2=1 => 2 =90 => =45 At V 0 =20 m/s L max =40m Comment: (the air resistance is neglected)

7. Stanislava Ivanova, Plamena Taneva and Manoela Dineva from 12a Class of 2010 y. Teacher: Margo Malinova School: SOU Zheleznik Stara Zagora Bulgaria