Traits are basically your phenotype. They include things like hair color, height, and eye color. Alleles are versions of genes. ... This is a pretty basic idea of how traits and alleles are related.
Answer:
The constant value is
The net displacement is
Explanation:
If the acceleration as a function of time is given then, first of all, knowing that the units of acceleration should be we should have where stands for The dimension of k (these are just the units of k in a less formal way of saying it.
On the other hand we have only information about the velocity, but we only have the acceleration function, it turns out we can integrate the expression of acceleration in order to obtain the velocity as a function of time:
where as a constant of integration which should have units of in order to be consistent with the fact that it is a velocity function, it is therefore natural to think of as the initial velocity of the the particle.
Let's now get our hands dirty by integrating
.
By having the velocity as a function of time we can now use the conditions given at t=0 and t=6.
At t=0 we have:
At t=6 the particle start reversing direction, that means at that very instant it velocity should be zero in order to start traveling the other way. This can only mean the following
.
We have a full description now of the acceleration and the velocity function. In order to get the net displacement we need to integrate the velocity function
Where is the initial displacement. If we subtract on both sides we get the net displacement or distance traveled
Plugging the value of 6 above gives us the net displacement
.
Answer:
This is because the acceleration of objects due to gravity is independent of the mass of the object and is constant for all objects, therefore, all objects fall with the same speed.
Explanation:
The weight of an object or force of gravity acting on an object on the surface of earth is a product of its mass and acceleration due to gravity.
Mathematically, w = mg
where, m=mass of the object; g = acceleration due to gravity
Also, from newton's law of gravitation, gravitational force on the object ,F = GMm/r²
where G is the gravitational constant; M is mass of Earth; m is mass of object; r is the distance of separation between the object and the center of mass of the earth which is approximately the radius of earth.
Since the weight of an object is equal to the force of gravitation acting on it
W = F
mg = GMm/r²
g = GM/r²
The expression above is that of the relationship between the force of gravity acting on a body on the earth's surface, the weight of that body and the acceleration due to gravity, g.
It can be seen that the acceleration due to gravity g is independent of the mass of the object. Therefore, the acceleration of objects due to gravity is constant for all objects and all objects fall with the same speed.
The relationship between speed of a wave w, frequency f and wavelength
is
For the wave of our problem,
and f=60 Hz, so its speed is
<u>Answer</u>
C. 0.6125 m
<u>Explanation</u>
The magnification of an image produced by curved mirrors can be given in two ways;
Magnification, M = (Height of the image) / (height if the object) and
M = (image distance,V) / (Object distance, U).
Using the first formula,
M = 0.35/0.4
= 0.875
Now from the second formula,
M = V/U
0.875 = V/0.7
V = 0.875 × 0.7
= 0.6125 m