Chapter 3. Components of the acceleration vector in projectile motion (3-11)

Question

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{"title":"x component of the acceleration vector a for projectile motion","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"110,46,137,71\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"zero value means that the x component of the velocity is constant","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"189,5,222,55\"}]"} {"title":"y component of the acceleration vector a for projectile motion","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"109,164,138,192\"}]"} {"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":"constant negative value means that the y component of the velocity is always decreasing, and decreases at a steady rate","description":"Incorrect","type":"incorrect","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"207,132,242,179\"}]"}

Question

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{"title":"x component of the acceleration vector a for projectile motion","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"110,46,137,71\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"zero value means that the x component of the velocity is constant","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"189,5,222,55\"}]"} {"title":"y component of the acceleration vector a for projectile motion","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"109,164,138,192\"}]"} {"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":"constant negative value means that the y component of the velocity is always decreasing, and decreases at a steady rate","description":"Incorrect","type":"incorrect","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"207,132,242,179\"}]"}

Question

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{"title":"x component of the acceleration vector a for projectile motion","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"110,46,137,71\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"zero value means that the x component of the velocity is constant","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"189,5,222,55\"}]"} {"title":"y component of the acceleration vector a for projectile motion","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"109,164,138,192\"}]"} {"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":"constant negative value means that the y component of the velocity is always decreasing, and decreases at a steady rate","description":"Incorrect","type":"incorrect","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"207,132,242,179\"}]"}

Question

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{"title":"x component of the acceleration vector a for projectile motion","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"110,46,137,71\"},{\"shape\":\"poly\",\"coords\":\"82,133\"}]"} {"title":"zero value means that the x component of the velocity is constant","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"189,5,222,55\"}]"} {"title":"y component of the acceleration vector a for projectile motion","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"109,164,138,192\"}]"} {"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":"constant negative value means that the y component of the velocity is always decreasing, and decreases at a steady rate","description":"Correct!","type":"correct","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"207,132,242,179\"}]"}

Review

We use the \(x\) and \(y\) axes to define the plane in which the projectile moves, with the positive \(x\) axis pointing in a horizontal direction and the positive \(y\) axis pointing vertically upward. Because the constant acceleration vector \(\vec{a}\) points vertically downward and has magnitude \(g\), the components of \(\vec{a}\) are: