Answer:
Option D.
Step-by-step explanation:
Arianna kicks a soccer ball into the air with an initial velocity = 42 feet per second
If the starting height of the ball is 0 feet then we have to find the approximate maximum height the soccer ball attached.
Since we know vertical motion is represented by
v² = u² - 2gh
Where v = final velocity of the object
u = initial velocity of the object
g = gravitational force
h = h = maximum height achieved by the object
Here v = 0, u = 42 feet per second and g = 32 feet per second²
Now we plug in these values in the formula
0 = (42)² - 2(32)(h)
1764 = 64h
[tex]h=\frac{1764}{64}[/tex]
h = 27.56 feet
 ≈ 27.60 feet
Therefore, maximum height achieved by the soccer ball is 27.6 feet.
Option D is the answer.
