A soccer player is at a distance of 12 meters from the goal. The goalkeeper has a height of 1.70 meters. Determine the angle at which the ball must be kicked with a speed of 20 m/s to pass above the goalkeeper.

Question

24-11-2023
Physics

High School

Thank you for visiting A soccer player is at a distance of 12 meters from the goal The goalkeeper has a height of 1 70 meters Determine the angle. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

A soccer player is at a distance of 12 meters from the goal. The goalkeeper has a height of 1.70 meters. Determine the angle at which the ball must be kicked with a speed of 20 m/s to pass above the goalkeeper.

Answer :

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raajratan raajratan · Answer 1 · 2025-05-15T15:32:14-04:00

Final answer:

To clear the goalkeeper, the soccer ball must be kicked at an angle of approximately 12.7 degrees above the horizontal.

Explanation:

To determine the angle at which the soccer ball must be kicked, we can use the projectile motion equations. The ball needs to clear the goalkeeper's height, which is 1.70 meters. We know the initial velocity of the ball is 20 m/s and the distance to the goal is 12 meters.

We can use the vertical component of the initial velocity and the gravitational acceleration to determine the time it takes for the ball to reach the maximum height. From there, we can find the total time of flight, and use it to find the launch angle.

Using these calculations, the angle at which you have to kick the ball to clear the goalkeeper is approximately 12.7 degrees above the horizontal.

Learn more about Projectile motion here:

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