Chapter 3. Components of the acceleration vector (3-10)

Question

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{"title":"x component of the acceleration vector a","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"49,39,72,64\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"change in the x component of the velocity during a short time interval","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"272,19,301,44\"},{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"}]"} {"title":"change in the y component of the velocity during a short time interval","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"275,91,298,120\"},{\"shape\":\"poly\",\"coords\":\"113,132\"}]"} {"title":"elapsed time for the time interval","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"257,45,282,70\"},{\"shape\":\"rect\",\"coords\":\"251,130,282,159\"}]"} {"title":"y component of the acceleration vector a","description":"Incorrect","type":"incorrect","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"51,118,73,142\"}]"}

Question

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{"title":"x component of the acceleration vector a","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"49,39,72,64\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"change in the x component of the velocity during a short time interval","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"272,19,301,44\"},{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"}]"} {"title":"change in the y component of the velocity during a short time interval","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"275,91,298,120\"},{\"shape\":\"poly\",\"coords\":\"113,132\"}]"} {"title":"elapsed time for the time interval","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"257,45,282,70\"},{\"shape\":\"rect\",\"coords\":\"251,130,282,159\"}]"} {"title":"y component of the acceleration vector a","description":"Incorrect","type":"incorrect","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"51,118,73,142\"}]"}

Question

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{"title":"x component of the acceleration vector a","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"49,39,72,64\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"change in the x component of the velocity during a short time interval","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"272,19,301,44\"},{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"}]"} {"title":"change in the y component of the velocity during a short time interval","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"275,91,298,120\"},{\"shape\":\"poly\",\"coords\":\"113,132\"}]"} {"title":"elapsed time for the time interval","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"257,45,282,70\"},{\"shape\":\"rect\",\"coords\":\"251,130,282,159\"}]"} {"title":"y component of the acceleration vector a","description":"Wrong","type":"incorrect","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"51,118,73,142\"}]"}

Question

k/2CBsohSYVPbfsQutvy0hog9ExsRq54EhD+oqdDRD5N8p+yQHgEEg==

{"title":"x component of the acceleration vector a","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"49,39,72,64\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"change in the x component of the velocity during a short time interval","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"272,19,301,44\"},{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"}]"} {"title":"change in the y component of the velocity during a short time interval","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"275,91,298,120\"},{\"shape\":\"poly\",\"coords\":\"113,132\"}]"} {"title":"elapsed time for the time interval","description":"Correct!","type":"correct","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"257,45,282,70\"},{\"shape\":\"rect\",\"coords\":\"251,130,282,159\"}]"} {"title":"y component of the acceleration vector a","description":"Incorrect","type":"incorrect","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"51,118,73,142\"}]"}

Question

Wh/fVcX1bFEPm/JUcNvkfNGRFypA3tmBKVbLL9+bUwEBJbw9+fJxeSilhuluaqlYBp8wjQ9aqbvolC9F

{"title":"x component of the acceleration vector a","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"49,39,72,64\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"change in the x component of the velocity during a short time interval","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"272,19,301,44\"},{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"}]"} {"title":"change in the y component of the velocity during a short time interval","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"275,91,298,120\"},{\"shape\":\"poly\",\"coords\":\"113,132\"}]"} {"title":"elapsed time for the time interval","description":"Wrong","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"257,45,282,70\"},{\"shape\":\"rect\",\"coords\":\"251,130,282,159\"}]"} {"title":"y component of the acceleration vector a","description":"Correct!","type":"correct","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"51,118,73,142\"}]"}

Review

It’s often useful to express the acceleration vector \(\vec{a}\) of an object in terms of its \(x\) and \(y\) components. Use the symbols \(v_{1x}\) and \(v_{1y}\) for the velocity components of the object at time \(t_1\), and the symbols \(v_{2x}\) and \(v_{2y}\) for the velocity components at time \(t_2\). Then \(a_x\), the \(x\) component of \(\vec{a}\), equals the \(x\) component of velocity change (\(\Delta{v_x} = v_{x2} - v_{x1}\) divided by the time interval \(\Delta{t} = t_2 - t_1\), and the \(y\) component of \(vec{a}\) equals the \(y\) component of velocity change (\(\Delta{v_y} = v_{y2} - v_{y1}\)) divided by \(\Delta{t}\).