Which of the following statements are evidence that the motion in the x and y coordinates can be treated separately? Select each accordingly. (Just say which ones are the evidence.)
: From the graphs of x(t) and y(t), we can see that acceleration happens only in the y coordinate.
: The time of flight of a bounced ball depends only on the initial y velocity after the first bounce.
: The acceleration of free-fall is constant.
: It takes the same amount of time for a dropped ball to reach the floor as it does for a ball that is launched horizontally from the same height.*
: The component equations of x(t) and vx(t) contain no functions of y or vy, and the component equations of y(t) and vy(t) contain no functions of x or vx.*
: A line fit to vy(t) can be used to find the acceleration in the y direction.*
The ones I put a star by are the ones I think are evidence, but I'm not entirely sure. Thank you!
: From the graphs of x(t) and y(t), we can see that acceleration happens only in the y coordinate.
: The time of flight of a bounced ball depends only on the initial y velocity after the first bounce.
: The acceleration of free-fall is constant.
: It takes the same amount of time for a dropped ball to reach the floor as it does for a ball that is launched horizontally from the same height.*
: The component equations of x(t) and vx(t) contain no functions of y or vy, and the component equations of y(t) and vy(t) contain no functions of x or vx.*
: A line fit to vy(t) can be used to find the acceleration in the y direction.*
The ones I put a star by are the ones I think are evidence, but I'm not entirely sure. Thank you!
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2,4&5.... 6 does nothing to prove that x and y are independent of each other, and 2 tells you that y is independent of all other variables.