The kinetic energy possessed by the skydiver is 14, 062. 5 Joules
<h3>What is kinetic energy?</h3>
Kinetic energy of an object is defined as the energy possessed by an object due to its motion.
It is also described as the work that is required to accelerate a body of mass from rest to its given velocity.
The formula for calculating kinetic energy is expressed as;
Kinetic energy = 1/2 mv²
Where;
- m is the mass of the object
- v is the velocity of the object
Now, substitute the values
Kinetic energy = 1/2 (45)(25)²
Find the square
Kinetic energy = 1/2 (45)(625)
Find the product
Kinetic energy = 1/2(28125)
Find the quotient
Kinetic energy = 14, 062. 5 Joules
Hence, the value is 14, 062. 5 Joules
Learn more about kinetic energy here:
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First find the slope
(0+2)/(1-2) = 2/-1 = -2
Y = mx + b
Y = -2x + b
Plot in any point
-2 = -2(2) + b, b = 2
Solution: y = -2x + 2
Answer:
If you consider what the slope looks like for a vertical line, it is an infinite slope. What that means is that you cannot have a y-value in your equation:
x = 3
This x-value would be a vertical line that passes through all y-values for x = 3. So you can replace them in (3, y) with any value, and it will be included in the linear equation x = 3.
Answer:
y>4x-2
Step-by-step explanation:
First let us find the equation of the line.
Given points (1,2) and (0, -2), the slope would be
(2-(-2))/(1-0) = 4/1= 4
The intercept is at -2, so the full equation would be
y=4x-2
However, we need to find the inequality of the graph. Everything greater than our line/above our line is included. Also notice that the line is dotted, which means that the line itself is not included.
Our equations should be,
y>4x-2
<em>I hope this helps! :)</em>
Given:
Required:
To find the probability that the dart land will be in the shaded region.
Explanation:
Area of the circle is given by the formula:
Where r = radius
Thus the area of the circular region
The area of the square is given by the formula:
Thus the area of the given square
The probability of an event is given by the formula:
The probability that the dart land will be in the shaded region
Thus probability
Final answer:
Thus the probability that the dart land will be in the shaded region is 0.349.
