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

AI Thread Summary
The discussion revolves around a projectile motion problem involving Tom the cat sliding off a table while chasing Jerry the mouse. The poster calculates the horizontal distance Tom will travel before hitting the floor as 2.7665 meters and identifies the horizontal velocity component (Vxo) as 5 m/s due to constant velocity. For the vertical velocity component (Vyo), they calculate it using gravitational acceleration but question the accuracy of their time calculation. Clarification is sought on whether the velocity components refer only to Vxo and Vyo or if the resultant vector should also be determined. The poster concludes they only need the x and y velocity components for their solution.
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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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