Acriminal is escaping across a rooftop and runs off the roof horizontally at a speed of 6.8 m/s, hoping to land on the roof of an adjacent building. air resistance is negligible. the horizontal distance between the two buildings is d, and the roof of the adjacent building is 1.1 m below the jumping-off point. find the maximum value for d. (g = 9.80 m/s2)

3.223 m

Explanation:

u = 6.8 m/s

h = 1.1 m

g = 9.9 m/s^2

Let it takes time t to jump from one building to another.

use second equation of motion in vertical direction.

h = u t + 1/2 g t^2

in the vertical direction, u = 0

h = 1/2 g t^2

1.1 = 0.5 x 9.8 x t^2

t = 0.474 second

Use second equation of motion in horizontal direction.

S = u t + 1/2 a t^2

In horizontal direction, a = 0

So,

D = u t = 6.8 x 0.474 = 3.223 m

their crystal patterns have been disrupted by stress

it is given that trillions of microbes make up to 1% to 3% of the body mass.

let's take average of this percentage: 2%

consider the average mass of the human body as 70 kg.

then, trillions of microbes would have mass  

therefore, 100 trillion micro-organisms would weigh:

this is an approximate value and could change depending on the mass of the human body and percentage of the microbes present in it.

average mass per microorganism =