What Equations Calculate Ball Trajectory and Force in Physics Problems?

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AI Thread Summary
To calculate the ball's trajectory and force, the average net force exerted during the kick can be determined using Newton's second law, considering the mass and acceleration. The time to reach the fence involves calculating the horizontal component of the ball's velocity and the distance to the fence. The ball's height at the fence can be found using projectile motion equations, which account for the initial velocity and angle. By analyzing these factors, one can conclude whether the ball will hit the fence and how high above or below it will do so. This problem illustrates the application of physics equations in real-world scenarios involving projectile motion.
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Homework Statement



A ball of mass .5kg, initially at rest, is kicked directly toward a fence from a point 32 meters away, as shown above. The velocity of the ball as it leaves the kicker's foot is 20m/s at an angle of 37 degrees above the horizontal. The top of the fence is 2.5m high. The kicker's foot is in contact with the ball for .05 second. The ball hits nothing while in flight and air resistance is negligible.

a. Determine the manitude of the avg net force exerted on the ball during the kick.

b. Determine the time it takes for the ball to reach the plane of the fence.

c. Will the ball hit the fence? If so, how far below the top of the fence will it hit? If not, how far above the top of the fence will it pass?
 
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crhscoog said:

Homework Statement



A ball of mass .5kg, initially at rest, is kicked directly toward a fence from a point 32 meters away, as shown above. The velocity of the ball as it leaves the kicker's foot is 20m/s at an angle of 37 degrees above the horizontal. The top of the fence is 2.5m high. The kicker's foot is in contact with the ball for .05 second. The ball hits nothing while in flight and air resistance is negligible.

a. Determine the manitude of the avg net force exerted on the ball during the kick.

b. Determine the time it takes for the ball to reach the plane of the fence.

c. Will the ball hit the fence? If so, how far below the top of the fence will it hit? If not, how far above the top of the fence will it pass?
You seem to have missed out a couple of important sections:

Homework Equations





The Attempt at a Solution

 

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