Soccer Goal Calculations

The video tutorial explains the dimensions of a penalty kick and uses the Pythagorean theorem to calculate distances from the ball to various points on the goal. It then calculates the time it takes for the ball and the goalie to reach these points, considering different speeds and assumptions. The tutorial highlights the challenges goalies face in reacting to fast penalty kicks.

What is the width of the goal in feet?

• 8 feet

• 36 feet

• 12 feet

• 24 feet

How far is the penalty kick spot from the goal line?

• 8 yards

• 36 yards

• 24 yards

• 12 yards

What theorem is used to calculate the distance from the ball to the bottom corners of the goal?

• Pythagorean theorem

• Binomial theorem

• Theorem of relativity

• Fundamental theorem of calculus

What is the approximate distance from the ball to the bottom corners of the goal?

• 12 feet

• 24 feet

• 37.95 feet

• 8 feet

What is the approximate distance from the ball to the top corners of the goal?

• 8 feet

• 38.78 feet

• 24 feet

• 12 feet

How far does the goalie need to travel to reach the top corners?

• 12 feet

• 6.9 feet

• 8 feet

• 14.42 feet

What is the assumed speed of a fast penalty kick in miles per hour?

• 80 mph

• 60 mph

• 100 mph

• 30 mph

What is the speed of the ball in feet per second?

• 60 feet per second

• 88 feet per second

• 44 feet per second

• 22 feet per second

How long does it take for the ball to reach the top corner?

• 0.44 seconds

• 0.31 seconds

• 0.50 seconds

• 0.60 seconds

What is the reaction time available for the goalie to make a decision?

• 0.13 seconds

• 0.50 seconds

• 0.31 seconds

• 0.44 seconds