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A soccer ball is kicked with a 36 degree angle and a velocity of 23 m/s. Find the time the soccer ball is in the air?

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Final answer:

The soccer ball is in the air for approximately 3.47 seconds.

Step-by-step explanation:

To find the time the soccer ball is in the air, we can use the equation for projectile motion:

t = 2 * (v₀ * sin(θ)) / g

where t is the time, v₀ is the initial velocity (23 m/s), θ is the angle of the kick (36 degrees), and g is the acceleration due to gravity (approximately 9.8 m/s²).

Substituting the values into the equation, we get:

t = 2 * (23 * sin(36)) / 9.8 ≈ 3.47 seconds

Therefore, the soccer ball is in the air for approximately 3.47 seconds.

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