### Kinematic Motion AnalysisA ball moves along a 1-dimensional coordinate system with the following motion parameters at time \( t = 0 \) seconds:- Initial position, \( x_0 = 1.9 \) m- Initial velocity, \( v_0 = 0 \) m/sThe ball has a constant acceleration of \( 1.1 \) m/s² during the entire motion, which occurs over a time interval of \( 1.2 \) seconds. #### Error ToleranceAn error in position of \( 4\% \) is deemed **acceptable** in this context over the entire duration of the motion.#### Problem StatementDetermine the number of rows \( N \) required in a table to model the entire motion within the acceptable error margin, given that the final term \( \frac{1}{2} a (\Delta t)^2 \) in the exact position expression is excluded.#### ExplanationThe task is to calculate the precise number of equal intervals or rows needed to ensure that the model accurately represents the motion's position within the specified error tolerance. For detailed analysis:1. **Initial Conditions:** - \( x_0 = 1.9 \) m - \( v_0 = 0 \) m/s2. **Acceleration:** - \( a = 1.1 \) m/s²3. **Motion Duration:** - Total Time \( = 1.2 \) seconds4. **Acceptable Error Margin:** - \( 4\% \) of the total motion distance.This involves deriving the number of intervals \( N \), based on time steps \( \Delta t \), required to stay within the acceptable error limit while excluding the positional term \( \frac{1}{2} a (\Delta t)^2 \).

Name: ### Kinematic Motion AnalysisA ball moves along a 1-dimensional coord
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: ### Kinematic Motion AnalysisA ball moves along a 1-dimensional coordinate system with the following motion parameters at time \( t = 0 \) seconds:- Initial position, \( x_0 = 1.9 \) m- Initial velocity, \( v_0 = 0 \) m/sThe ball has a constant acce