Understanding the Motion of a Thrown Ball

The video tutorial explains the motion of a ball thrown by Katie, modeled by a function representing the ball's height over time. Initially, the ball is thrown from a height of about 1.5 to 2 meters, not 5 meters. The ball reaches its highest point at approximately 31 meters and stays in the air for nearly 5 seconds. The tutorial evaluates several statements about the ball's motion, confirming the ball's highest point is around 2.45 seconds after being thrown, and it remains airborne for almost 5 seconds.

What does the function f represent in the scenario?

• The distance the ball travels horizontally

• The weight of the ball

• The height of the ball in meters as a function of time

• The speed of the ball over time

At what time does the ball first reach the ground after being thrown?

• At 7 seconds

• At 3 seconds

• At 2 seconds

• At 5 seconds

Why is the statement 'Katie threw the ball from a height of five meters' incorrect?

• The ball was thrown from a height of about 1.5 to 2 meters

• Katie is five meters tall

• The ball was thrown from a height of ten meters

• The ball was thrown from the ground

What is the significance of the y-intercept in the context of this problem?

• It represents the speed of the ball

• It represents the maximum height of the ball

• It represents the initial height of the ball

• It represents the time the ball was thrown

What can be inferred about Katie's height based on the initial height of the ball?

• Katie is about 1.5 to 2 meters tall

• Katie is about 5 meters tall

• Katie is about 4 meters tall

• Katie is about 3 meters tall

What is the approximate height of the ball at its highest point?

• 20 meters

• 40 meters

• 31 meters

• 15 meters

How long was the ball in the air before it hit the ground?

• About 2.5 seconds

• About 3 seconds

• About 5 seconds

• About 4 seconds

At what time did the ball reach its highest point?

• Exactly 3 seconds

• About 4 seconds

• About 2.5 seconds

• Exactly 2 seconds

Which statement is true about the ball's motion?

• The ball reached its highest point at exactly 3 seconds

• The ball was in the air for about 5 seconds

• The ball reached its highest point exactly at 2.5 seconds

• The ball was in the air for exactly 2.5 seconds

Why is the statement 'The ball was in the air for about two and a half seconds' incorrect?

• The ball was in the air for about 6 seconds

• The ball was in the air for about 3 seconds

• The ball was in the air for about 4 seconds

• The ball was in the air for about 5 seconds