Answer:
dt = ds/dv.
Explanation:
to calculate the time step if you have a vector of accumulative distance and instanteneous velocity vector can be expressed bellow
solution
ds = dv/dt
divide the step distance by the instantaneous velocity you will get the time step.
that it
dt = ds/dv.
so to calculate the time step having a vector that keeps adding every step and speed at that moment is this dt = ds/dv.
Answer: (a) Z-score are 1 and -1.2 for northern and southern regions, respectively.
Explanation: <u>Z-score</u> is how many standard deviations a data is from the population mean or how far a data point is from the mean.
The z-score is calculated by the following:

where
x is the data point
μ is population mean
σ is standard deviation
For the <u>northern</u> <u>region</u> birds:
μ = 10, σ = 3, x = 13

z = 1
The z-score for birds living in the northern region is 1, which means it is 1 standard deviation <em>above the mean</em>.
For the southern region:
μ = 16, σ = 2.5, x = 13

z = -1.2
The z-score for southern living birds is -1.2, meaning it is 1.2 standard deviations <em>below the mean</em>.
Answer:
3091.56
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration due to gravity = 9.81 m/s² (positive downward and negative upward)

Distance traveled in the first stage is 1093.75 m

Velocity at the end of first stage is 87.5 m/s

Acceleration of the second stage is 4.5 m/s²

Distance traveled in the second stage is 1100 m

Distance traveled after the second stage has stopped firing is 894.81 m
Total height the rocket reached = 1093.75+1100+897.81 = 3091.56 m
Answer:
the red at the bottom should not count, but the red at the top is the least dense because it floats upon the other liquids
Explanation:
hope this helps
To solve this problem it is necessary to apply the concepts related to the kinematic equations of movement description, which determine the velocity, such as the displacement of a particle as a function of time, that is to say

Where,
x = Displacement
v = Velocity
t = Time
Our values are given as,


Replacing we have that,



Therefore the distance from Earth to the Moon is 399.000 km