Final answer:
To find the time it takes for the football to reach its maximum height, use the formula t = v/g, leading to a calculation of 1.84 seconds for the football to reach maximum height.
Step-by-step explanation:
The duration it will take for the football to reach its maximum height can be calculated using the formula t = v/g, where v is the initial vertical velocity and g is the acceleration due to gravity. Since the football is kicked horizontally at ground level, we assume it's also kicked upwards at the best angle of 45 degrees, which would make the vertical component of the velocity the same as the horizontal. However, we don't have this angle so we will ignore any horizontal component and just account for the given velocity as the vertical speed of 18.0 m/s for calculation purposes.
The time (t) would then be calculated as t = 18.0 m/s / 9.8 m/s² = 1.84 seconds. So, it will take approximately 1.84 seconds for the football to reach maximum height.