# Tom the cat is chasing Jerry the mouse across a table surface 2 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 6 m/s. Where will Tom strike the ﬂoor, in terms of m?

Nov 9, 2015

At a distance of $3.84 \text{m}$ from the table.

#### Explanation:

We get the time of flight by considering Tom's vertical component of motion:

Since $u = 0$:

$s = \frac{1}{2} \text{g} {t}^{2}$

$\therefore t = \sqrt{\frac{2 s}{\text{g}}}$

$t = \sqrt{\frac{2 \times 2}{9.8}}$

$t = 0.64 \text{s}$

Tom's horizontal component of velocity is a constant 6m/s.

So:

$s = v \times t$

$s = 6 \times 0.64 = 3.84 \text{m}$