#5 ### Understanding Components of Velocity and Acceleration---**Problem Statement:**The initial and final velocities of a particle are shown in Fig. 3-25. Find the particle’s average acceleration if the change in velocity takes place in a 10.0 s interval.**Diagram Description (Fig. 3-25):**The diagram provided is a vector diagram showing the initial and final velocities of a particle. It is divided into four quadrants with the \(x\)- and \(y\)-axes.- The initial velocity vector \(\mathbf{v_i}\) is shown as a green arrow pointing upwards and to the right from the origin. It has a magnitude of 30.0 m/s at an angle of 30.0° above the positive \(x\)-axis.- The final velocity vector \(\mathbf{v_f}\) is shown as a green arrow pointing downwards and to the left from the origin. It has a magnitude of 20.0 m/s at an angle of 45.0° below the negative \(x\)-axis.---**Task Explanation:**To find the particle’s average acceleration, we need to perform the following steps:1. **Determine the components of the initial and final velocities:** - For the initial velocity \(\mathbf{v_i}\): \[ v_{ix} = 30.0 \cos(30.0^\circ), \quad v_{iy} = 30.0 \sin(30.0^\circ) \] - For the final velocity \(\mathbf{v_f}\): \[ v_{fx} = 20.0 \cos(45.0^\circ), \quad v_{fy} = -20.0 \sin(45.0^\circ) \] Note: The negative sign for \(v_{fy}\) is because the vector points downward.2. **Calculate the change in velocity components:** - Change in \(x\)-component (\(\Delta v_x\)): \[ \Delta v_x = v_{fx} - v_{ix} \] - Change in \(y\)-component (\(\Delta v_y\)): \[ \Delta v_y = v_{fy} - v_{iy} \]3. **Calculate the average acceleration components:** - For the average acceleration in \(x\

Name: #5 ### Understanding Components of Velocity and Acceleration---**Probl
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: #5 ### Understanding Components of Velocity and Acceleration---**Problem Statement:**The initial and final velocities of a particle are shown in Fig. 3-25. Find the particle’s average acceleration if the change in velocity takes place in a 10.0 s int