Tom the cat is chasing Jerry the mouse across

a table surface 1.9 m off 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
4.6 m/s.
Where will Tom strike the floor? The ac-
celeration of gravity is 9.8 m/s2 .
Answer in units of m

2 answers

Calculate how long (T) that it takes Tom to hit the ground. This depends only upon the height (H) and g, since the cat takes off horizontally.

(1/2) g T^2 = H

T = sqrt(2H/g)

Then multiply T by the horizontal velocity component of Tom, which remains constant at 4.6 m/s.
Sq[2*1.9/9.8]=.62
then,4.6*.62=2.9

2.9 m is your answer.