A soccer player takes a free kick from a spot that is 20 m from the goal. The ball leaves his fo

Name: Problem 36, Chapter 3: College Physics: A Strategic Approach
Uploaded: 2023-09-25T17:21:43-08:00
Duration: 3 min 52 s
Channel: Prabhat Tyagi
Description: A soccer player takes a free kick from a spot that is 20 m from the goal. The ball leaves his foot at an angle of 32^∘, and it eventually hits the crossbar of the goal, which is 2.4 m from the ground. At what speed did the ball leave his foot?

step 1 Here, in this question we have given horizontal distance equals to 20 meter, also we have vertic

Question

A soccer player takes a free kick from a spot that is $20 \mathrm{m}$ from the goal. The ball leaves his foot at an angle of $32^{\circ},$ and it eventually hits the crossbar of the goal, which is $2.4 \mathrm{m}$ from the ground. At what speed did the ball leave his foot?

   A soccer player takes a free kick from a spot that is $20 \mathrm{m}$ from the goal. The ball leaves his foot at an angle of $32^{\circ},$ and it eventually hits the crossbar of the goal, which is $2.4 \mathrm{m}$ from the ground. At what speed did the ball leave his foot?

College Physics: A Strategic Approach

Randall D. Knight,… 4th Edition

Chapter 3, Problem 36

Instant Answer

Solved by Expert Prabhat Tyagi

09/25/2023

Step 1

4 \mathrm{m}$ high after traveling a horizontal distance of $20 \mathrm{m}$. We can break the velocity into its horizontal and vertical components. The horizontal component of the velocity is $v \cos(32^{\circ})$ and the vertical component is $v \sin(32^{\circ})$. Show more…

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A soccer player takes a free kick from a spot that is $20 \mathrm{m}$ from the goal. The ball leaves his foot at an angle of $32^{\circ},$ and it eventually hits the crossbar of the goal, which is $2.4 \mathrm{m}$ from the ground. At what speed did the ball leave his foot?

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Key Concepts

Vector Decomposition

Vector decomposition is the process of breaking down a velocity vector into its horizontal and vertical components using trigonometric functions. This is essential in projectile motion problems because it allows one to apply the kinematic equations separately to the two components of motion.

Projectile Motion

Projectile motion is the motion of an object thrown or projected into the air, subject only to acceleration due to gravity. It involves analyzing the two independent components of motion: horizontal, which is constant velocity, and vertical, which has constant acceleration due to gravity.

Kinematic Equations

Kinematic equations describe the relationships among displacement, initial velocity, time, acceleration, and final velocity. In projectile motion, these equations are used to determine quantities such as the time of flight and the required initial speed when the projectile reaches a given height at a specified horizontal distance.

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