Consider a ball fired from a table that is h(m) high with a horizontal velocity v(m/s). Which of the following expressions is the correct formula to find how long it will take for the ball to strike the ground?

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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Consider a ball fired from a table that is h(m) high with a horizontal velocity v(m/s). Which of the following expressions is the correct formula to find how long it will take for the ball to strike the ground?

The image presents a multiple-choice question with four mathematical expressions, likely relating to concepts of physics or calculus involving time (t), gravity (g), height (h), and velocity (v). 

Here are the given options:

1. \[ t = \sqrt{\frac{2g}{h}} \]

2. \[ t = v \cdot \sqrt{\frac{2h}{g}} \] 
   - This option is marked as selected.
   
3. \[ t = v \cdot \sqrt{\frac{g}{2h}} \]

4. \[ t = \sqrt{\frac{2h}{g}} \]

Each expression represents a different formulation of time, involving variables related to motion under gravitational influence. The highlighted second option indicates the currently selected answer.
Transcribed Image Text:The image presents a multiple-choice question with four mathematical expressions, likely relating to concepts of physics or calculus involving time (t), gravity (g), height (h), and velocity (v). Here are the given options: 1. \[ t = \sqrt{\frac{2g}{h}} \] 2. \[ t = v \cdot \sqrt{\frac{2h}{g}} \] - This option is marked as selected. 3. \[ t = v \cdot \sqrt{\frac{g}{2h}} \] 4. \[ t = \sqrt{\frac{2h}{g}} \] Each expression represents a different formulation of time, involving variables related to motion under gravitational influence. The highlighted second option indicates the currently selected answer.
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