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 0.582 m/s. It strikes the floor a horizontal distance 0.315 m away from the edge of the table. Ignore air resistance.

Question

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

(define positive y upward)

Answer 1

Dx = Xo * Tf = 0.315 m.
0.582 * Tf = 0.315
Tf = 0.541 s. = Fall time or time in air

Y = Yo + g*t = 0 + 9.8*0.541 = 5.30 m/s.
= Ver. component of final velocity.