The football player in the picture kicks the 1.5-lb ball with a velocity vA of 50 mph, as shown. The ball bounces off the turf, having a coefficient of restitution with the ball of 0.35, before landing a second time in mud, getting stuck there. Based on this: a) What will the rebound velocity, v’B, and angle be?b) How much less high will the ball bounce than it reached during the initial kick? c) What total distance will the ball travel? **Projectile Motion Diagram Explanation**The image depicts a classic example of projectile motion in physics. It features a football scenario where a kicker (represented by a player on the right) is launching a ball from point A to point B.**Key Components:**1. **Initial Velocity (\(v_A\))**: - This is the velocity at which the ball is kicked. It's represented by a vector pointing upwards and to the right at a 30-degree angle from the horizontal.2. **Launch Angle (30°)**: - The angle between the initial velocity vector and the horizontal ground is marked as 30 degrees. This angle influences the trajectory and range of the projectile.3. **Trajectory Path**: - The parabolic path traced by the ball as it travels from A to B is illustrated by the curved line, characteristic of projectile motion under the influence of gravity.4. **Final Velocity (\(v'_B\))**: - As the ball reaches point B, the final velocity is indicated with a vector that makes an angle of \(\theta\) with the horizontal.5. **Final Angle (\(\theta\))**: - This angle shows the direction of the ball’s velocity just before it hits the ground at point B.Understanding this diagram is essential for analyzing the effects of initial speed, angle of projection, and gravity on the range and behavior of projectiles.

Answered: The football player in the picture…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The football player in the picture kicks the 1.5-lb ball with a velocity vA of 50 mph, as shown. The ball bounces off the turf, having a coefficient of restitution with the ball of 0.35, before landing a second time in mud, getting stuck there. Based on this: a) What will the rebound velocity, v’B, and angle be? b) How much less high will the ball bounce than it reached during the initial kick? c) What total distance will the ball travel?

**Projectile Motion Diagram Explanation**

The image depicts a classic example of projectile motion in physics. It features a football scenario where a kicker (represented by a player on the right) is launching a ball from point A to point B.

**Key Components:**

1. **Initial Velocity (\(v_A\))**:
- This is the velocity at which the ball is kicked. It's represented by a vector pointing upwards and to the right at a 30-degree angle from the horizontal.

2. **Launch Angle (30°)**:
- The angle between the initial velocity vector and the horizontal ground is marked as 30 degrees. This angle influences the trajectory and range of the projectile.

3. **Trajectory Path**:
- The parabolic path traced by the ball as it travels from A to B is illustrated by the curved line, characteristic of projectile motion under the influence of gravity.

4. **Final Velocity (\(v'_B\))**:
- As the ball reaches point B, the final velocity is indicated with a vector that makes an angle of \(\theta\) with the horizontal.

5. **Final Angle (\(\theta\))**:
- This angle shows the direction of the ball’s velocity just before it hits the ground at point B.

Understanding this diagram is essential for analyzing the effects of initial speed, angle of projection, and gravity on the range and behavior of projectiles.

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