Question

A soccer player is practicing their kick on a field. initially at rest, an 0.8 kilogram ball is kicked directly toward a fence from a distance 25 meters away, as shown above. the ball's velocity as it leaves the kicker's foot is 19 m/s at an angle of 30 degrees above the horizontal. the top of the fence field is 2.5 meters high. the kicker's foot is in contact with the ball for 0.05 seconds. while in flight, the ball doesn't hit any other object, and air resistance is negligible. determine the magnitude of the average net force exerted on the ball during the kick. show your work. (3 points) determine the time it takes for the ball to reach the plane of the fence. show your work. determine whether the ball will hit the fence. if it will, how high up the fence will it hit

Answer 1

The average net force exerted on the ball during the kick is 0 N. The time it takes for the ball to reach the plane of the fence is approximately 0.51 seconds. The ball will hit the fence, and the height at which it will hit depends on the value of d.

Step-by-step explanation:

To determine the magnitude of the average net force exerted on the ball during the kick, we can use the equation F=ma, where F is the force, m is the mass, and a is the acceleration. Since the ball is initially at rest, it undergoes an acceleration of 0 m/s^2. Therefore, the average net force exerted on the ball is 0 N.

To determine the time it takes for the ball to reach the plane of the fence, we can analyze the vertical motion of the ball. Using the equation d = v_i*t + (1/2)a*t^2, where d is the vertical distance, v_i is the initial vertical velocity, t is the time, and a is the acceleration, we substitute the known values: d = 2.5 m, v_i = 0 m/s (since the ball is initially at rest vertically), and a = -9.8 m/s^2 (acceleration due to gravity). Solving for t, we find that it takes approximately 0.51 seconds for the ball to reach the plane of the fence.

To determine whether the ball will hit the fence and how high up the fence it will hit, we can analyze the horizontal motion of the ball. Since the ball does not hit any other object and air resistance is negligible, the horizontal velocity remains constant at 19 m/s. The time it takes for the ball to reach the fence is the same as the time it takes to reach the plane of the fence, which is approximately 0.51 seconds. Therefore, the ball will hit the fence. To determine how high up the fence it will hit, we can use the equation d = v_i*t + (1/2)a*t^2, where d is the vertical distance, v_i is the initial vertical velocity, t is the time, and a is the acceleration. Substituting the known values: d = ?, v_i = 0 m/s, t = 0.51 s, and a = -9.8 m/s^2, we can solve for d. The height at which the ball hits the fence will depend on the value of d.