Final answer:
To find the height of the crossbar, we can analyze the projectile motion of the football. By breaking down the initial velocity into horizontal and vertical components, and using the equations for vertical displacement, we can calculate the height of the crossbar. The height of the crossbar would be approximately 13.06 meters.
Step-by-step explanation:
To find the height of the crossbar, we need to analyze the projectile motion of the football.
The football is kicked with an initial speed of 20 m/s at an angle of 53 degrees above the horizontal.
We can break down the initial velocity into its horizontal and vertical components.
The horizontal component of the initial velocity can be calculated as:
Vx = V * cos(theta)
where V is the initial speed and theta is the angle of launch.
Substituting the given values, we get Vx = 20 * cos(53) = 12 m/s.
Similarly, the vertical component of the initial velocity can be calculated as:
Vy = V * sin(theta)
Substituting the given values, we get Vy = 20 * sin(53) = 16 m/s.
Now, we can analyze the vertical motion of the football.
The equation for the vertical displacement is given by:
h = Vy^2 / (2 * g)
where h is the vertical displacement, Vy is the vertical component of the initial velocity, and g is the acceleration due to gravity (approximately 9.8 m/s^2).
Substituting the given values, we get h = (16^2) / (2 * 9.8)
= 13.06 m.
Therefore, the height of the crossbar would be approximately 13.06 meters.