The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the spe
1 answer:
The formula for the velocity, v is √2E/m
<h3>What is kinetic energy?</h3>Kinetic energy is half the mass multiplied by the square of the speed of the object
It is written thus;
Kinetic energy = 1/ 2 × m × v²
To solve for 'v' mean that we should make 'v' the subject of formula
E = 1/ 2 mv²
E =
cross multiply
To make 'v' the subject, we have
Thus, the formula for the velocity, v is √2E/m
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Answer:
The correct option is;
Step-by-step explanation:
The given information is that m(x) = x² - 17·x
The above equation can be written in the form;
y = x² - 17·x
Therefore;
0 = x² - 17·x - y
From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;
By comparison to the equation,0 = x² - 17·x - y, we have;
a = 1, b = -17, and c = -y
Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;
Which can be simplified as follows;
And further simplified as follows;
Interchanging x and y in the function of the inverse, m⁻¹(x), we have;
We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;
m'(x) = 2·x - 17 = 0
x = 17/2
Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;
m''(x) = 2 > 0, therefore, the point is a minimum point on the graph
Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;
to increase m⁻¹(x) above the minimum.