what’s the initial and final height of the bal

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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what’s the initial and final height of the ball?
### Projectile Motion Problem

This question is similar to a typical homework question. Answering it will help you with your lab. A ball rolls off of a table with height \( h = 1.40 \) m with a horizontal velocity of \( v_{x0} = 5.00 \) m/s. Ultimately we want to know what horizontal distance from the edge of the table does the ball hit the floor (in other words, what is the ball’s range, \( x \))? Assume upwards and to the right are the positive directions, and the origin is on the floor at the edge of the table.

### Diagram Explanation
The diagram provided shows a ball rolling off a horizontal table. A sequence of dots represents the ball’s trajectory as it falls, indicating the parabolic path typical in projectile motion. The table height is labeled as \( h \), and the horizontal distance the ball travels before hitting the ground is labeled as "range \( x \)". The horizontal velocity is labeled \( v_{x0} \).

### Problem Statement
A ball rolls off the edge of a table that is 1.40 meters tall with a horizontal velocity of 5.00 m/s. If the ground is measured at 0 meters and the table is considered to be in the positive \( y \) direction:

1. **What is the initial height (\( y_0 \)) of the ball?**
   - [Choose …]

2. **What is the final height (\( y_f \)) of the ball?**
   - [Choose …]
Transcribed Image Text:### Projectile Motion Problem This question is similar to a typical homework question. Answering it will help you with your lab. A ball rolls off of a table with height \( h = 1.40 \) m with a horizontal velocity of \( v_{x0} = 5.00 \) m/s. Ultimately we want to know what horizontal distance from the edge of the table does the ball hit the floor (in other words, what is the ball’s range, \( x \))? Assume upwards and to the right are the positive directions, and the origin is on the floor at the edge of the table. ### Diagram Explanation The diagram provided shows a ball rolling off a horizontal table. A sequence of dots represents the ball’s trajectory as it falls, indicating the parabolic path typical in projectile motion. The table height is labeled as \( h \), and the horizontal distance the ball travels before hitting the ground is labeled as "range \( x \)". The horizontal velocity is labeled \( v_{x0} \). ### Problem Statement A ball rolls off the edge of a table that is 1.40 meters tall with a horizontal velocity of 5.00 m/s. If the ground is measured at 0 meters and the table is considered to be in the positive \( y \) direction: 1. **What is the initial height (\( y_0 \)) of the ball?** - [Choose …] 2. **What is the final height (\( y_f \)) of the ball?** - [Choose …]
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