(Solved): Below is a motion diagram for an object that moves along a curved path. The dots are separated by e ...

Below is a motion diagram for an object that moves along a curved path. The dots are separated by equal time intervals and represent the position of the object at three subsequent instants. The vectors \( \vec{v}_{1} \) and \( \vec{v}_{2} \) represent the average velocity of the object during the two corresponding time intervals. D. the velocity vector \( -\vec{v}_{1} \) and the acceleration vector \( \vec{a} \) representing the change in average velocity of the object during the total time interval. Draw the vectors starting at the appropriate black dots. For the velocity vector, the starting point, length, and direction will be graded. For the acceleration vector, the starting point and direction will be graded. View Avallable Hint(s) Select to remove all drawn elements. Press CTRL+Y to get to the elements on the canvas. Press CTRL+Q to quit the application. Learning Goal: To practice Tactics Box 4.1 Finding the Acceleration Vector. Suppose an object has an initial velocity \( \vec{v}_{\mathrm{i}} \) at time \( t_{\mathrm{i}} \) and later, at time \( t_{\mathrm{f}} \), has velocity \( \vec{v}_{\mathrm{f}} \). The fact that the velocity changes tells us that the object undergoes an acceleration during the time interval \( \Delta t=t_{\mathrm{f}}-t_{\mathrm{i}} \). From the definition of acceleration, \[ \vec{a}=\frac{\vec{v}_{\mathrm{f}}-\vec{v}_{\mathrm{i}}}{t_{\mathrm{f}}-t_{\mathrm{i}}}=\frac{\Delta \vec{v}}{\Delta t}, \] we see that the acceleration vector points in the same direction as the vector \( \Delta \vec{v} \). This vector is the change in the velocity \( \Delta \vec{v}=\vec{v}_{\mathrm{f}}-\vec{v}_{\mathrm{i}} \), so to know which way the acceleration vector points, we have to perform the vector subtraction \( \vec{v}_{f}-\vec{v}_{\text {i. }} \). This Tactics Box shows how to use vector subtraction to find the acceleration vector.