Question

You are playing air hockey. Air hockey is played on a table with air jets that support the puck, allowing the puck to move without slowing down because of friction.

However, you notice that the table surface is tilted, which causes the puck to drift in one direction. This gives the puck a constant acceleration in the -y direction. You hit the puck from one end of the table straight towards the other end. The table is 1m long. Instead of traveling on a straight path (the blue line above), the puck follows the red trajectory shown above, hitting the far end of the table with a distance of 0.25 m between the blue and red lines. The puck is launched with an initial velocity directed in the +x direction only (as shown). In the above picture, the blue dashed line shows the path the puck would take if there was no acceleration. The red dashed line shows the path the puck actually took. If the initial velocity in the x-direction is 3.00 m/s (and 0 in the y-direction), what is the magnitude of the puck's acceleration?a

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