Answer:
20 meters.
Explanation:
In the graph, the x-axis (the horizontal axis) represents the time, while the y-axis (the vertical axis) represents the distance.
If we want to find the distance covered in the first T seconds, you need to find the value T in the horizontal axis.
Once you find it, we draw a vertical line, in the point where this vertical line touches the graph, we now draw a horizontal line. This horizontal line will intersect the y-axis in a given value. That value is the total distance travelled by the time T.
In this case, we want to find the total distance that David ran in the first 4 seconds.
Then we need to find the value 4 seconds in the horizontal axis. Now we perform the above steps, and we will find that the correspondent y-value is 20.
This means that in the first 4 seconds, David ran a distance of 20 meters.
Answer:
Point 3
Explanation:
It is a summer month position but it has no sunlight.
it would be at least 9.8m/s
Answer:
d) g/2
Explanation:
We need to use one of Newton's equations of motion to find the position of the stone at any time t.
x(t) = x₀(t) + ut - ¹/₂at²
Where
x₀(t) = initial position of the stone.
x(t) - x₀(t) = distance traveled by the stone at any time.
u = initial velocity of the stone
a = acceleration of the stone
t = time taken
On both planets, before the stone was thrown by the astronaut, x = 0 and t = 0.
=> 0 = x₀(t)
=> x₀(t) = 0
On earth, when the stone returns into the hand of the astronaut at time T on earth, x = 0.
=> 0 = 0 + uT - ¹/₂gT² (a = g)
=> uT = ¹/₂gT²
=> g = 2u/T
On planet X, when the stone returns into the hand of the astronaut, time = 2T , x = 0.
=> 0 = 0 + u(2T) - ¹/₂a(2T)²
=> 2uT = 2aT²
=> a = u/T
By comparing we see that a = g/2.
1) Fundamental units of
are ![[\frac{mol}{m\cdot s^2}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bmol%7D%7Bm%5Ccdot%20s%5E2%7D%5D)
2) Fundamental units of
are ![[\frac{mol}{m^3}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bmol%7D%7Bm%5E3%7D%5D)
Explanation:
The equation for the variable
is

where we have:
measured in ![[\frac{mol}{ft^3}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bmol%7D%7Bft%5E3%7D%5D)
measured in ![[\frac{J}{kg}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7BJ%7D%7Bkg%7D%5D)
measured in ![[in]](https://tex.z-dn.net/?f=%5Bin%5D)
measured in ![[\frac{m}{s^2}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bm%7D%7Bs%5E2%7D%5D)
We can re-write the equation as

And we notice that the units of the term on the left must be equal to the units of the term on the right.
This means that:
1) First of all,
must have the same units of
. So,
![[\rho r g]=[\frac{mol}{ft^3}][in][\frac{m}{s^2}]](https://tex.z-dn.net/?f=%5B%5Crho%20r%20g%5D%3D%5B%5Cfrac%7Bmol%7D%7Bft%5E3%7D%5D%5Bin%5D%5B%5Cfrac%7Bm%7D%7Bs%5E2%7D%5D)
However, both ft (feet) and in (inches) are not fundamental dimensions: this means that they can be expressed as meters. Therefore, the fundamental units of
are
![[\Psi]=[\frac{mol}{m^3}][m][\frac{m}{s^2}]=[\frac{mol}{m\cdot s^2}]](https://tex.z-dn.net/?f=%5B%5CPsi%5D%3D%5B%5Cfrac%7Bmol%7D%7Bm%5E3%7D%5D%5Bm%5D%5B%5Cfrac%7Bm%7D%7Bs%5E2%7D%5D%3D%5B%5Cfrac%7Bmol%7D%7Bm%5Ccdot%20s%5E2%7D%5D)
2)
The term
must have the same units of
in order to be added to it. Therefore,
![[\gamma \Phi] = [\frac{mol}{m\cdot s^2}]](https://tex.z-dn.net/?f=%5B%5Cgamma%20%5CPhi%5D%20%3D%20%5B%5Cfrac%7Bmol%7D%7Bm%5Ccdot%20s%5E2%7D%5D)
We also know that the units of
are
, therefore
![[\frac{J}{kg}][\Phi]= [\frac{mol}{m\cdot s^2}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7BJ%7D%7Bkg%7D%5D%5B%5CPhi%5D%3D%20%5B%5Cfrac%7Bmol%7D%7Bm%5Ccdot%20s%5E2%7D%5D)
And so, the fundamental units of
are
![[\Phi]= [\frac{mol\cdot kg}{J\cdot m\cdot s^2}]](https://tex.z-dn.net/?f=%5B%5CPhi%5D%3D%20%5B%5Cfrac%7Bmol%5Ccdot%20kg%7D%7BJ%5Ccdot%20m%5Ccdot%20s%5E2%7D%5D)
However, the Joules can be written as
![[J]=[kg][\frac{m^2}{s^2}]](https://tex.z-dn.net/?f=%5BJ%5D%3D%5Bkg%5D%5B%5Cfrac%7Bm%5E2%7D%7Bs%5E2%7D%5D)
Therefore
![[\Phi]= [\frac{mol\cdot kg}{(kg \frac{m^2}{s^2})\cdot m\cdot s^2}]=[\Phi]= [\frac{mol}{m^3}]](https://tex.z-dn.net/?f=%5B%5CPhi%5D%3D%20%5B%5Cfrac%7Bmol%5Ccdot%20kg%7D%7B%28kg%20%5Cfrac%7Bm%5E2%7D%7Bs%5E2%7D%29%5Ccdot%20m%5Ccdot%20s%5E2%7D%5D%3D%5B%5CPhi%5D%3D%20%5B%5Cfrac%7Bmol%7D%7Bm%5E3%7D%5D)
#LearnwithBrainly