Final answer:
The angle at which the soccer ball was kicked is approximately 30.4 degrees.
Step-by-step explanation:
To find the angle at which the soccer ball was kicked, we need to use the formula for projectile motion. We can assume the horizontal distance covered by the ball is 30 m, as mentioned in a related question. The time of flight, t, can be calculated using the formula:
t = 2 * (0.85) = 1.7 s
The initial vertical velocity, Vy, can be calculated using the formula:
Vy = (2.4 - 0) / t = 1.41 m/s
The initial velocity, V, can be calculated using the formula:
V = sqrt((30 / cos(θ))^2 + 2 * 9.8 * 2.4)
By substituting the values and solving the equation, we find that the angle at which the soccer ball was kicked is approximately 30.4 degrees (option A).