Finish solving the system of equations –9.5x – 2.5y = –4.3 and 7x + 2.5y = 0.8 using the linear combination method.
1 answer:
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Answer:
h = 44.06 meters (maximum height)
the time the object takes to complete this whole path is 6 seconds, this is why the time at which the object reaches its maximum height will between 0 and 6 seconds
Step-by-step explanation:
To solve this question, we need to first recognize that this is a constant acceleration problem, specifically, it can be thought of as a projectile motion problem.
Recall, the equations of motion:
What do we already know?
- The launch is straight up
this is the gravitational acceleration
, since our reference point is at s = 0, (the ground)
We can use use the Eq(1):
we know that when any object is launched up, at maximum height its velocity is going to be zero,
this is the maximum height!
Why does t have to between zero and six?
We can answer this using a bit visualization, if you think about the second equation
this is the equation of the whole trajectory that object makes.
and if you solve this by making , you will get the times at which the object was at the ground. the times will be 0s and 5.99s.
so the amount of time the object takes to go through this whole path is 6 seconds and this why the object will only reach its maximum height in between this time interval.
hope this helps :)
The value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.
<h3>What is logarithmic regression?</h3>Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.
The data of the table for the day and height of the stalk of corn is listed below.
Day (<em>x</em>) 9 12 22 40
Height (<em>y</em>) in 5 17 45 60
Mean of x values,
Mean of y values,
For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,
Compare it with the following logarithmic regression equation, we get
Hence, the value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.
Learn more about the logarithmic regression here;