**Problem Statement:**A small coin, initially at rest, begins falling. If the clock starts when the coin begins to fall, what is the magnitude of the coin's displacement between \( t_1 = 0.226 \, \text{s} \) and \( t_2 = 0.903 \, \text{s} \)?**Solution Section:**To find the magnitude of the coin's displacement \( \Delta y \), we use the equation for displacement in uniformly accelerated motion:\[ \Delta y = v_i t + \frac{1}{2} a t^2 \]Since the coin starts from rest, the initial velocity \( v_i = 0 \). The acceleration \( a \) is due to gravity, which is approximately \( 9.81 \, \text{m/s}^2 \).The time interval \( \Delta t = t_2 - t_1 = 0.903 \, \text{s} - 0.226 \, \text{s} = 0.677 \, \text{s} \).Thus, the displacement can be calculated by substituting these values into the formula.\[ \Delta y = 0 + \frac{1}{2} \times 9.81 \, \text{m/s}^2 \times (0.677 \, \text{s})^2 \]Calculate the displacement to find \( \Delta y \).**Answer Box:**\[ \Delta y = \text{[Calculated Value]} \, \text{m} \]

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A small coin, initially at rest, begins falling. If the clock starts when the coin begins to fall, what is the magnitude of the coin's displacement between t1 = 0.226 s and 12 = 0.903 s? Ay = m

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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