Question
The height of the baseball thrown upward into the air
approximated by the function
approximated by the function
Ask by King Harmon. in the United States
Jan 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The baseball reaches a maximum height of 150 feet.
Solution
To find the maximum height of the baseball, we’ll analyze the quadratic function representing its height:
This is a parabola that opens downward (since the coefficient of
Step 1: Find the Time at Maximum Height (
The vertex of a parabola given by
Here,
Step 2: Calculate the Maximum Height (
Plugging
Answer
a. The baseball reaches a maximum height of 150 feet.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Extra Insights
To find the maximum height of the baseball, we can use the vertex formula for a quadratic function. The function given can be expressed in the form
Now, substitute
So, the maximum height of the baseball is 150 feet!
The joy of baseball has an interesting history! Did you know that baseball evolved from various bat-and-ball games played in England during the 17th century? By the 19th century, baseball began to gain a firm grip on U.S. culture, with the establishment of the first professional league, the National League, in 1876, paving the way for the sport’s iconic status.
When throwing or hitting a baseball, physics plays a crucial role! The path of a baseball can be influenced by several factors, such as the angle of release and initial speed. A common mistake is throwing the ball straight up; the ideal angle for maximum height is actually around 45 degrees. So, if you’re aiming for a spectacular catch in a game, keep that angle in mind!
