**Question 8 of 13**A 3.63 kg object constrained to move along the x-axis is subjected to a time-varying force as shown on the graph. Find the change in the object's velocity over the specified time intervals.**What is the change in velocity \( \Delta v \) between \( t_i = 0 \) s and \( t_f = 4.67 \) s?**\[ \Delta v = \boxed{15.44} \, \text{m/s} \]**What is \( \Delta v \) between \( t_i = 5.61 \) s and \( t_f = 10 \) s?**\[ \Delta v = \boxed{9.55} \, \text{m/s} \]**What is \( \Delta v \) between \( t_i = 10 \) s and \( t_f = 17.5 \) s?**\[ \Delta v = \boxed{-7.64} \, \text{m/s} \]*Incorrect***Graph Description:**The graph shows the force \( F_x(N) \) versus time. The force is constant at 12 N from \( t = 0 \) to around \( t = 4.5 \) seconds, then drops to 0 N until \( t = 10 \) seconds.**Feedback:**You have not correctly calculated \( \Delta v \) between \( t_i = 10 \) s and \( t_f = 17.5 \) s.Remember that the general form for the equation of a line is\[ y = Mx + B \]where \( M \) is the slope, \( x \) is the independent variable, and \( B \) is the y-intercept. You can use this to determine the value of the force at \( t = 17.5 \) s. **Title: Analyzing Velocity Change Under Time-Varying Force**A 3.63 kg object constrained to move along the x-axis is subjected to a time-varying force as depicted in the graph. We aim to determine the change in the object's velocity over specific time intervals.**Graph Explanation:**The graph illustrates the force \( F_x \) in Newtons (N) applied to the object over time \( t \) in seconds (s). It shows a fluctuating force that initially holds at 12 N until around 4.67 s, decreases to approximately -10 N around 10 s, and eventually returns to a slightly positive value by 20 s.**Calculations:**1. **Change in Velocity \( \Delta v \) for \( t_i = 0 \) s and \( t_f = 4.67 \) s:** \[ \Delta v = 15.44 \, \text{m/s} \]2. **Change in Velocity \( \Delta v \) for \( t_i = 5.61 \) s and \( t_f = 10 \) s:** \[ \Delta v = 9.55 \, \text{m/s} \]3. **Change in Velocity \( \Delta v \) for \( t_i = 10 \) s and \( t_f = 17.5 \) s:** \[ \Delta v = -7.64 \, \text{m/s} \quad (\text{Incorrect}) \]The problem assesses the change in velocity (\( \Delta v \)) of a mass influenced by a varying force over specified intervals.

Name: **Question 8 of 13**A 3.63 kg object constrained to move along the x-
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: **Question 8 of 13**A 3.63 kg object constrained to move along the x-axis is subjected to a time-varying force as shown on the graph. Find the change in the object's velocity over the specified time intervals.**What is the change in velocity \( \Del