Position, acceleration, and time for projectile motion (3-13)

Question 1 of 5

Question

$x$ and $y$ coordinates at $t=0$ of the object

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Question

Acceleration due to gravity ( $g$ is positive)

{"title":"x and y coordinates at time t of an object in projectile motion","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"34,9,61,34\"},{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"41,57,60,84\"}]"} {"title":"x and y component at t=0 of the object's velocity vector","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"150,11,168,29\"},{\"shape\":\"rect\",\"coords\":\"143,55,162,79\"}]"} {"title":"Time at which the object has coordinates x and y","description":"Wrong","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"183,7,203,32\"},{\"shape\":\"rect\",\"coords\":\"180,53,196,80\"},{\"shape\":\"rect\",\"coords\":\"278,48,293,78\"}]"} {"title":"Acceleration due to gravity (g is positive)","description":"Correct!","type":"correct","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"264,50,277,78\"}]"} {"title":"x and y coordinates at t=0 of the object","description":"Incorrect","type":"incorrect","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"90,11,111,34\"},{\"shape\":\"rect\",\"coords\":\"91,59,118,85\"}]"}

Question

Time at which the object has coordinates $x$ and $y$

{"title":"x and y coordinates at time t of an object in projectile motion","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"34,9,61,34\"},{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"41,57,60,84\"}]"} {"title":"x and y component at t=0 of the object's velocity vector","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"150,11,168,29\"},{\"shape\":\"rect\",\"coords\":\"143,55,162,79\"}]"} {"title":"Time at which the object has coordinates x and y","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"183,7,203,32\"},{\"shape\":\"rect\",\"coords\":\"180,53,196,80\"},{\"shape\":\"rect\",\"coords\":\"278,48,293,78\"}]"} {"title":"Acceleration due to gravity (g is positive)","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"264,50,277,78\"}]"} {"title":"x and y coordinates at t=0 of the object","description":"Incorrect","type":"incorrect","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"90,11,111,34\"},{\"shape\":\"rect\",\"coords\":\"91,59,118,85\"}]"}

Question

$x$ and $y$ component at $t=0$ of the objects velocity vector

{"title":"x and y coordinates at time t of an object in projectile motion","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"34,9,61,34\"},{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"41,57,60,84\"}]"} {"title":"x and y component at t=0 of the object's velocity vector","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"150,11,168,29\"},{\"shape\":\"rect\",\"coords\":\"143,55,162,79\"}]"} {"title":"Time at which the object has coordinates x and y","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"183,7,203,32\"},{\"shape\":\"rect\",\"coords\":\"180,53,196,80\"},{\"shape\":\"rect\",\"coords\":\"278,48,293,78\"}]"} {"title":"Acceleration due to gravity (g is positive)","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"264,50,277,78\"}]"} {"title":"x and y coordinates at t=0 of the object","description":"Incorrect","type":"incorrect","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"90,11,111,34\"},{\"shape\":\"rect\",\"coords\":\"91,59,118,85\"}]"}

Question

$x$ and $y$ coordinates at time $t$ of an object in projectile motion

{"title":"x and y coordinates at time t of an object in projectile motion","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"34,9,61,34\"},{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"41,57,60,84\"}]"} {"title":"x and y component at t=0 of the object's velocity vector","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"150,11,168,29\"},{\"shape\":\"rect\",\"coords\":\"143,55,162,79\"}]"} {"title":"Time at which the object has coordinates x and y","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"183,7,203,32\"},{\"shape\":\"rect\",\"coords\":\"180,53,196,80\"},{\"shape\":\"rect\",\"coords\":\"278,48,293,78\"}]"} {"title":"Acceleration due to gravity (g is positive)","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"264,50,277,78\"}]"} {"title":"x and y coordinates at t=0 of the object","description":"Incorrect","type":"incorrect","color":"#FF6600","code":"[{\"shape\":\"rect\",\"coords\":\"90,11,111,34\"},{\"shape\":\"rect\",\"coords\":\"91,59,118,85\"}]"}

Review

We can use another equation from Chapter 2 to write down the equations for the projectile’s $x$ and $y$ coordinates $x$ and $y$ at any time $t$ . We let $x$ and $y$ be the projectile’s coordinates at time $t=0$ . Because the $x$ component of acceleration $a_x$ is constant, we know that $x = x_0 + v_{0x}t + (1/2)a_xt^2$ from Equation 2-10 in Section 2-5. The same equation rewritten for the $y$ direction is $y=y_0 + v_{0y}t + (1/2)a_yt^2$ . For projectile motion $a_x = 0$ and $a_y = -g$ , so these equations become: