A box proceeds along the x-axis and the figure below shows a record of its velocity as a function of time. Every gridline along the vertical axis corresponds to 3.50 m/s and each gridline along the horizontal axis corresponds to 1.00 s. (Enter your answers in m/s². Indicate the direction with the signs of your answers. Note that t= 0 at the intersection of the axes.) v (m/s) t(s) Q (a) Determine the average acceleration of the box in the time interval t = 0 to t = 5.00 s. ✔m/s2 0 (b) Determine the average acceleration of the box in the time interval t = 5.00 s to t = 15.0 s. x How is the average acceleration related to the change in velocity and change in time? How is the average acceleration over some time interval related to the slope of the line connecting the end points of the time interval of interest? Note that we are interested in the region of the plot where the velocity increasing at a constant rate. m/s² (c) Determine the average acceleration of the box in the time interval t = 0 to t = 20.0 s. x How is the average acceleration related to the change in velocity and change in time? How is the average acceleration over some time interval related to the slope of the line connecting the end points of the time interval of interest? Note that we are interested in the average acceleration over the entire time shown on the plot. m/s²

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A box proceeds along the x-axis and the figure below shows a record of its velocity as a function of time. Every gridline along the vertical axis corresponds to 3.50 m/s and each gridline along the
horizontal axis corresponds to 1.00 s. (Enter your answers in m/s². Indicate the direction with the signs of your answers. Note that t = 0 at the intersection of the axes.)
v (m/s)
0
F
@
(a) Determine the average acceleration of the box in the time interval t = 0 to t = 5.00 s.
✔ m/s²
t(s)
(b) Determine the average acceleration of the box in the time interval t = 5.00 s to t = 15.0 s.
x
How is the average acceleration related to the change in velocity and change in time? How the average acceleration over some time interval related to the slope of the line connecting the end
points of the time interval of interest? Note that we are interested in the region of the plot where the velocity is increasing at a constant rate. m/s²
(c) Determine the average acceleration of the box in the time interval t = 0 to t = 20.05.
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How is the average acceleration related to the change in velocity and change in time? How is the average acceleration over some time interval related to the slope of the line connecting the end
points of the time interval interest? Note that we are interested in the average acceleration over the entire time shown on the plot. m/s²
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Transcribed Image Text:A box proceeds along the x-axis and the figure below shows a record of its velocity as a function of time. Every gridline along the vertical axis corresponds to 3.50 m/s and each gridline along the horizontal axis corresponds to 1.00 s. (Enter your answers in m/s². Indicate the direction with the signs of your answers. Note that t = 0 at the intersection of the axes.) v (m/s) 0 F @ (a) Determine the average acceleration of the box in the time interval t = 0 to t = 5.00 s. ✔ m/s² t(s) (b) Determine the average acceleration of the box in the time interval t = 5.00 s to t = 15.0 s. x How is the average acceleration related to the change in velocity and change in time? How the average acceleration over some time interval related to the slope of the line connecting the end points of the time interval of interest? Note that we are interested in the region of the plot where the velocity is increasing at a constant rate. m/s² (c) Determine the average acceleration of the box in the time interval t = 0 to t = 20.05. Need Help? How is the average acceleration related to the change in velocity and change in time? How is the average acceleration over some time interval related to the slope of the line connecting the end points of the time interval interest? Note that we are interested in the average acceleration over the entire time shown on the plot. m/s² Read It
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