Are My Calculations for Tom the Cat's Projectile Motion Correct?

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SUMMARY

The discussion centers on the calculations for Tom the Cat's projectile motion after sliding off a table. The horizontal distance (x) calculated is 2.7665 meters, with the horizontal velocity component (Vxo) confirmed as 5 m/s due to constant velocity. The vertical velocity component (Vyo) is derived using gravitational acceleration, resulting in 5.42234 m/s after 0.5533 seconds of free fall. The participant clarifies that the velocity components refer to both Vxo and Vyo, and confirms that the resultant vector is not required for this specific problem.

PREREQUISITES
  • Understanding of basic physics concepts related to projectile motion
  • Familiarity with kinematic equations for motion in two dimensions
  • Knowledge of gravitational acceleration (9.8 m/s²)
  • Ability to perform vector addition and resolve components
NEXT STEPS
  • Study the kinematic equations for projectile motion in detail
  • Learn how to calculate time of flight for projectile motion
  • Explore vector addition techniques for combining velocity components
  • Investigate real-world applications of projectile motion in physics
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of projectile motion and its calculations.

AznBoi
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Here is a problem about projectile motion. I have the answer but I'm not sure if they are correct or not, please help check. Thanks!

Problem: Tom the cat is chasing Jerry the mouse across a table surface 1.5m above the floor. Jerry steps out of the way at the last second, and Tom slides off the edge of the table at a speed of 5m/s. Where will Tom strike the floor, and what velocity components will he have just before he hits?

My Answers:
x=2.7665m

used the x= and y= equations, easy.


Velocity components just before he hits:
Vxo=5m/s, because no accel. or force. Constant Velocity.
Vyo=9.8m/s^2 * time?
so 9.8m/s^2 * .5533s = 5.42234 m/s
Is that correctly done for the velocity component of Vyo??


Also, when it says find the velocity components just before he hits, does it mean to find Vxo and Vyo?? Do you need to find the resultant vector also? What I mean is the single vector that is Vxo and Vyo added together. I think the components just mean x and y right?
 
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That's right.
 
ok so I just need the x and y velocity components. ty:-p
 

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