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Aug 17, 2021 · From The Factor Theorem, Theorem \(\PageIndex{3}\), we can get yet another insight into the problems associated with solving polynomial equations; that is, finding the zeros of a polynomial. The initial important idea here is that the zero \(a\) is from the ground field \(F\text{.}\)
- What Does The Velocity's Sign Say About The object?
- What Does "G" Stand for?
- What Does "Per Second Squared" Mean?
- Which Value Should I Use For Gravity?
- What Is The projectile-motion equation?
The initial velocity of the object, in these exercises, tells us how the object was released. The initial value of the velocity will be either zero (so the object was just dropped), positive (so it was thrown or shot upward), or negative (so the object was thrown downward).
In projectile-motion exercises, the coefficient on the squared term is −½ g. The g stands for the constant of gravity (on Earth), which is −9.8 meters per second square (that is meters per second per second) in metric terms, or −32feet per second squared in Imperial terms. The "minus" signs reflect the fact that Earth's gravity pulls us, and the ob...
Acceleration (being the changein speed, rather than the speed itself) is measured in terms of how much the velocity changes per unit time. So, if the velocity of an object is measured in feet per second, then that object's acceleration says how much that velocity changes per unit time; that is, acceleration measures how much the feet per second cha...
If a projectile-motion exercise is stated in terms of feet, miles, or some other Imperial unit, then use −32 for gravity; if the units are meters, centimeters, or some other metric unit, then use −9.8for gravity.
The projectile-motion equation is s(t) = −½ gx2 + v0x + h0, where g is the constant of gravity, v0 is the initial velocity (that is, the velocity at time t = 0), and h0 is the initial height of the object (that is, the height at of the object at t = 0, the time of release). Yes, you'll need to keep track of all of this stuff when working with proje...
In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor(x). Similarly, the ceiling function maps x to the least integer greater than or equal to x , denoted ⌈ x ⌉ or ceil( x ) .
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Dec 6, 2016 · Mathematician Hannah Fry tells the intriguing story of how the number zero was ‘discovered’ – and why we couldn’t predict the future without it.
Quadratic Equations. A Quadratic Equation looks like this: Quadratic equations pop up in many real world situations! Here we have collected some examples for you, and solve each using different methods: Factoring Quadratics. Completing the Square. Graphing Quadratic Equations. The Quadratic Formula. Online Quadratic Equation Solver.
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If the graph crosses the x-axis and appears almost linear at the intercept, it is a single zero. If the graph touches the x -axis and bounces off of the axis, it is a zero with even multiplicity. If the graph crosses the x -axis at a zero, it is a zero with odd multiplicity.
