Ballistic Motion using Newton's Laws

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SUMMARY

The discussion focuses on calculating the landing distance of a rocket-powered hockey puck released from a frictionless table. The puck has a thrust of 1.20 N and a mass of 1.50 kg, resulting in an acceleration of 0.8 m/s² in the horizontal direction. The puck travels 3.20 m before falling 3.60 m under gravity, taking 0.857 seconds to reach the edge of the table. The final position of the puck on the x-axis can be determined using kinematic equations for projectile motion.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Familiarity with kinematic equations
  • Basic knowledge of projectile motion
  • Proficiency in using SI units for measurements
NEXT STEPS
  • Calculate the initial horizontal velocity of the puck using kinematic equations.
  • Explore the concept of projectile motion to determine the final landing position.
  • Review the effects of gravity on vertical motion in projectile scenarios.
  • Investigate the relationship between thrust, mass, and acceleration in Newton's Second Law.
USEFUL FOR

Students and educators in physics, engineers working on motion dynamics, and anyone interested in understanding the principles of projectile motion and Newton's Laws.

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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