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A soccer ball is kicked with an initial velocity of 18.0 m/s in the horizontal direction and 11.0 m/s in the vertical direction. In meters, what maximum height is attained by the soccer ball?

A. 20.0 m
B. 22.0 m
C. 25.0 m
D. 30.0 m

User Anup Ash
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1 Answer

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Final answer:

A soccer ball is kicked with an initial velocity of 18.0 m/s in the horizontal direction, the maximum height attained by the soccer ball is C. 25.0 meters.

Step-by-step explanation:

The maximum height attained by the soccer ball can be found using the vertical motion equation:

vf² = vi² + 2ad

where

vf is the final velocity (0 m/s at maximum height)

vi is the initial velocity in the vertical direction (11.0 m/s)

a is the acceleration due to gravity (-9.8 m/s²)

d is the vertical displacement (maximum height).

Rearranging the equation, we have:

d = (vf² - vi²) / (2a)

Substituting the given values, we get:

d = (0 - 11.0²) / (2(-9.8)) = 25.0 m

Therefore, the maximum height attained by the soccer ball is 25.0 meters.

So therefore the correct answer is C. 25.0 meters.

User Jack Vial
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