Here is the situation… we’ve taken the lead by 2! There are 3 seconds left on the clock. What should we do on the kick off?

Well, let’s go ahead and do some brainstorming!

We need 4 seconds of hang time for our team to get down field.

If we kick it into the end zone, it’ll be a touchback and they’ll have a shot at our end zone.

If we kick it too short, they could return it for a touchdown and we would lose the game.

We’ll avoid kicking it to the side to prevent it from going out of bounds and taking a penalty.

WHAT DO WE GOTTA DO?

• Put it in the air for 4 seconds.• Place in in the centered with respect to the

side lines.• Kick it at least past the 20 yard line.• Don’t kick it into the end zone.

• So… how about the 10 yard line?

Let’s Get Our Data Together!

• Change in x-position is…

60 yards!

Let’s Get Our Data Together

• Change in y-position is…

Well, the ball starts on the ground and finishes on the ground… so 0!

Let’s Get Our Data Together

• We’ve already said we need 4 seconds!• Also, the acceleration due to gravity is 9.81

meters per second squared.• Let’s convert the 60 yards into meters…

Sort It All Out

x - values y - valuesx = 0 y =0x0 =54.86 y0 =0v =?? v =??v0 =?? v0 =??a =0 a =-9.81t =4 t =4

What Do We Need?

How fast do we need to kick the ball and at what angle?

Let’s Start With the X-Directionx - values y - valuesx = 0 y =0x0 =54.86 y0 =0v0 =?? v =??v =?? v0 =??a =0 a =-9.81t =4 t =4

X-Direction Velocity

a = 0

What Do We Need?

How fast do we need to kick the ball and at what angle?

Let’s Now Get the Y-Directionx - values y - valuesx = 0 y =0x0 =54.86 y0 =0v0 =13.72 v =??v =13.72 v0 =??a =0 a =-9.81t =4 t =4

Y-Direction Velocity

Now Use the Pythagorean Theorem

Now Use the Pythagorean Theorem

Now Use the Pythagorean Theorem

Now Use Trig to Get the Angle

Kick the ball with a velocity of 23.94 meters per second at a 55.04 degree angle to the field!

The Answer!!!

THE END!

Credits!• All informational slides provided by myself, Andrew Mikolajczak in 2013.• Music Credits: Title: So Alone Author: FlashKid105 Uploaded: 08/24/2004 License: Freeware – allowing for anyone to use as they please.• Picture Credits: Picture 1: 50 yard line picture

Justin RussellNightthreeTaken on December 24, 2004

Picture 2: Football FieldCreated by Andrew MikolajczakAugust 3, 2013

Picture 3: FootballFutureNJGovWilsonnflfootball.jpgDate Unknown

Picture 4: TriangleBrews OhareJune 4 2010