The x- and y-coordinates are 9142.57 m and -304.425 m
<u>Explanation:</u>
As the motion of the shell is in a plane (two dimensional space) and the acceleration is that due to gravity which is vertically downward, we resolve initial velocity of the shell in horizontal and vertical directions. If the initial velocity of the shell is making angle with the horizontal, the horizontal component of initial velocity will be
As the acceleration of the shell is vertical having no horizontal component, the shell may be considered to move horizontally with constant velocity of and hence the horizontal distance covered (or the x coordinate of the shell with point of projection as origin) is given by
For motion with constant acceleration, we know
Along the horizontal, x-axis, we might write this as
Measuring distances relative to the firing point means
we know that,
or,
By applying the values, we get,
The acceleration of gravity is vertically downward and is , hence the vertical distance covered (or y coordinate of the shell) is given by the second equation of motion
we know, and , so,
y = 11701.8 - 4.9(2450.25)= 11701.8 - 12006.225 = - 304.425 m
Answer:
Population 1 indicates growth while Population 2 indicates a declining population
Explanation:
Here, using the given rate of change of the population, we want to determine which of the two is growing and which is declining
From the rate of change of both, we can determine this. Looking at the differential equation for the first one, we can see that it is of positive value. Looking at the differential equation for the second one. we can see it is of negative value
While a positive change rate indicates growth, a negative change rate will indicate otherwise
Hence, we can conclude that the one with a negative rate change will indicate a declining population
Answer:
In physics, if there is biggest mass then the slow down time is more and this effect is basically known as gravitation time dilation. This type of effect can easily be calculated from the different type of metric in the environment.
When some outsider observe then, this effect time seemed to be slowed down. It basically measure the overall amount of the time which elapse at observer distance. Therefore, this is the main concept of the mass slow down time.
Time period of fan (t) = 1 / 2 = 0.5 seconds
Angular velocity (ω)= 2π/t
ω = 4π
v = ωr
v = 4π x 0.61
v = 7.66 m/s
Answer:
0.025 m
0.059166 m
Explanation:
P = Pressure
A = Area
x = Compression of spring
Force is given by
From Hooke's law
The spring is compressed 0.025 m
In the second case
Net force would be
Compression would be
The compression of the spring is 0.059166 m