Help with physics word problem

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A cat chases a mouse across a 1.5 m high table. The mouse steps out of the way, and the cat slides off the table and strikes the floor 1.1 m from the edge of the table.The acceleration of gravityis 9.81 m/s^2.
What was the cat’s speed when it slid off the table?
Answer in units of m/s.

Jun 19th, 2015

Thank you for the opportunity to help you with your question!

The basis for answering this type of question is to understand that motion in the x-and y-directions are assumed to be independent.

The first thing is to determine how long it took for the cat to fall from the table top to the floor.

the basic equation is:

delta y = Vyt + 1/2 gt^2.

Dy = -1.3m 

Dx = 1.1m 
Vy = 0, Since you are not moving up 
ay = 9.81m/s^2 

Dy = Vyt + 0.5ayt^2 
-1.3 = 0 + 0.5(-9.81)t^2 
-1.3/-4.9 = t^2 
t = 0.52s

Dx = Vxt 
2.2 = Vx0.52 
Vx = 1.1/0.52 
= 2.11m/s 

Therefore the cat's speed when it slid off the table is probably 2.11 m/s [Horizontal]

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 19th, 2015

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