A roach that runs for its life because you try to hit it with your physics book

Question

A roach that runs for its life because you try to hit it with your physics book runs off the horizontal tabletop with a speed of 0.661 m/s. It strikes the floor a horizontal distance 0.373 m away from the edge of the table. Ignore air resistance.

What will be the vertical component of the roach's velocity just before it hits the floor

I got 5.5m/s but it said it was wrong.

A roach that runs for its life because you try to hit it with your physics book runs off the horizontal tabletop with a speed of 0.661 m/s. It strikes the floor a horizontal distance 0.373 m away from the edge of the table. Ignore air resistance.

What will be the vertical component of the roach's velocity just before it hits the floor

I got 5.5m/s but it said it was wrong.

Explanation / Answer

the horizontal tabletop with a speed of 0.661 m/s.

hence horizontal distance = 0.373 = 0.661*t

t=0.373/0.661

=0.564s

from the kinamatic equation is

s=ut+1/2at^2, where u=0

where s is height

s =1/2*9.8*(0.564)2

=1.55m

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