Ballistic Motion using Newton's Laws

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JeYo
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A rocket-powered hockey puck has a thrust of 1.20 and a total mass of 1.50 . It is released from rest on a frictionless table, 3.20 from the edge of a 3.60 drop. The front of the rocket is pointed directly toward the edge. How far does the puck land from the base of the table?



Okay, so I found the acceleration of the puck in the x-direction to be 0.8m/s/s and the difference in time between the moment it is at the end of the table to be 0.857s. But past this I have been unable to find initial velocity or final velocity or anything that I could plug into a kinematics equation to help me find the final position of the puck, on the x-axis.
 
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One should include units, but it appears one is using SI or mks.

It is released from rest on a frictionless table

and accelerates at 0.8 m/2 over a distance of 3.2 m.

http://hyperphysics.phy-astr.gsu.edu/hbase/mot.html#mot5

The puck then falls 3.6 m under the influence of gravity with no initial vertical velocity, but it has some horizontal velocity and perhaps horizontal acceleration(?).

http://hyperphysics.phy-astr.gsu.edu/hbase/traj#tra11

ref - http://hyperphysics.phy-astr.gsu.edu/hbase/traj.html
 
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