1)Mission Impossible: Special agent Ethan Hunt tries to escape an assassin by ju

Question

1)Mission Impossible: Special agent Ethan Hunt tries to escape an assassin by jumping horizontally off a flat roof. His goal is to reach a window, two stories or 7.46 m down, on the building across the alley.
Ignore air resistance.
If the alley is 11 m wide, how fast must he run when jumping off the roof?

2) 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 0.515 m/s. It strikes the floor a horizontal distance 0.235 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?
(define positive y upward)

Explanation / Answer

use Y = ut - 0.5 gt^2

here Y = -7.46 m

u = 0

so

t^2 = 2Y/g

t^2 = (7.46 * 2/9.8)

t = 1.233 secs

so S = vt

v = 11/1.233

V = 8.914 m/s

------------------------------------

Horizontal distance S = 0.235 m

speed V = 0.515 m/s

t = S/v = 0.235/0.515 = 0.456 secs

so

Vertical speed V = gt = 9.8 * 0.456

V = -4.47 m/s

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