Answer:
The equation that will express this result os
h = 0 = vy t - 1/2 g t^2 so the net height traveled by the bullet is zero
vy t = 1/2 g t^2
vy = 1/2 g t
vy = 1/2 * 9.8 * t you could use -9.8 to indicate vy and g are in different directions
tx = sx/ vx = 46.4 / 471 = .0985 sec time to travel up and down to original height
th = .0985 / 2 = .0493 sec time to reach maximum height
vy = g ty = 9.8 * .0493 sec = .483 m/s initial vertical speed
Sy = vy t - 1/2 g t^2 = .483 * .0493 - 1.2 9.8 (.0493^^2)
Sy = .0238 - 4.9 ( .0493)^2 = .0238 - .0119 = .0119 m
Height to which bullet will rise - if the gun is aimed at this height then in .0985 seconds the bullet will fall to zero height
Check: .483 / 9.8 = .0493 time to reach zero vertical speed
total travel time = 2 * .0493 = .0986 sec
471 * .0986 = 46.4 m total distance traveled by bullet
Answer:

Explanation:
in every 20 minutes the prokaryote divides to produce one of itself .
Mathematically,
20 mins:1 of its kind
x mins :512 of its kind
Where x is the amount of time (in minutes) needed by the prokaryote to produce 512 of its kind.
This implies that,
By cross multiplying we obtain,

We now convert the time in minutes into hours.
Knowing very well that 60 minutes equals an hour, to convert 10240 minutes to hour we divide by 60.
This implies that,

Answer:
i

ii

iii1 )

iii2)

iii3)

Explanation:
From the question we are told that
The length of the string is 
The tension on the string is 
The mass per unit length is 
The speed of wave on the string is mathematically represented as

substituting values


generally the string's frequency is mathematically represented as

n = 1 given that the frequency we are to find is the fundamental frequency
So
substituting values


The frequencies at which the string would vibrate include
1 
Here
is know as the second harmonic and the value is


2

Here
is know as the third harmonic and the value is


3

Here
is know as the fourth harmonic and the value is


they work less effectively due to the lack of friction on the road when it is wet
pls mark brainliest