## FAQs

Projectile motion is the motion of an object thrown (projected) into the air when, after the initial force that launches the object, air resistance is negligible and the only other force that object experiences is the force of gravity. The object is called a projectile, and its path is called its trajectory.

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What is the quadratic formula for the projectile motion? ›
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BIG IDEA Assuming constant gravity, both the path of a projectile and the height of a projectile over time can be described by an equation of the form **y = ax2 + bx + c, a ≠ 0**.

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What is the quadratic formula for height time? ›
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how to plug height and time into a quadratic equation **h=at2+bt+c**. to model the height of the object t seconds after it is shot into the air? The height is 163.6 feet the time is 1.2 seconds.

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What is the quadratic formula for high school math? ›
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The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: **(-b±√(b²-4ac))/(2a)** . See examples of using the formula to solve a variety of equations.

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What is projectile one word answer? ›
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A projectile is **any object that is cast, fired, flung, heaved, hurled,pitched, tossed, or thrown**.

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What are the 3 quadratic formulas? ›
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**The 3 Forms of Quadratic Equations**

- Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.
- Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)
- Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.

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What is the formula for the projectile? ›
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The total flight time 𝑡 of a projectile is given by **𝑡 = 2 𝑈 ( 𝜃 ) 𝑔 , s i n** where 𝑈 is its initial velocity, 𝜃 is its angle of projection, and 𝑔 is the acceleration due to gravity. We can use projectile motion formulae to answer questions about the trajectories of projectiles.

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What is the equation for projectile motion with quadratic drag? ›
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In the presence of gravity and quadratic drag alone, the net force on an object is given by **∑⃗F=m⃗g−cv2^v**, ∑ F → = m g → − c v 2 v ^ , where m is the mass of the object and ⃗g is the local acceleration due to gravity.

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What is the formula for projectile from height time? ›
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Few Examples of Two – Dimensional Projectiles

Quantity | Value |
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Position at time t | x = (v_{0} cosθ_{0})t y = (v_{0} sinθ_{0})t – 1/2 gt^{2} |

Equation of path of projectile motion | y = (tan θ_{0})x – gx^{2}/2(v_{0}cosθ_{0})^{2} |

Time of maximum height | **t**_{m} = v_{0} sinθ_{0} /g |

Time of flight | 2t_{m} = 2(v_{0} sinθ_{0}/g) |

4 more rows
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What are the solutions of the quadratic equation? ›
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The solutions to the quadratic equation are **the values of the unknown variable x, which satisfy the equation**. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The height of an object in physics is determined by its gravitational potential energy and its kinetic energy. The formula to calculate height is: **h = v^2 / 2g**. This equation takes into account the velocity of the object and the strength of gravity.

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Who invented algebra? ›
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The Muslim Persian mathematician **Muhammad ibn Mūsā al-Khwārizmī**, described as the father or founder of algebra, was a faculty member of the "House of Wisdom" (Bait al-Hikma) in Baghdad, which was established by Al-Mamun.

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What are 4 examples of quadratic equation? ›
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**Examples of quadratic equations**

- x 2 + x − 30 = 0.
- 5 t 2 + 4 t + 1 = 0.
- 16 x 2 − 4 = 0.
- 3 x 2 + x = 0.
- 5 x 2 = 25.

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What is quadratic equation 3 examples? ›
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Examples of the standard form of a quadratic equation (ax² + bx + c = 0) include: **6x² + 11x - 35 = 0**. **2x² - 4x - 2 = 0**. **-4x² - 7x +12 = 0**.

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What is projectile motion quizlet? ›
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projectile motion. **a two dimensional movement where objects are thrown or launched in the air and are subject to gravity**. follows a curved path. projectiles. the objects being thrown.

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What is the simple definition of projectile? ›
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What Is Projectile? A projectile is **any object thrown into space upon which the only acting force is gravity**. The primary force acting on a projectile is gravity.

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What exactly is a projectile? ›
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A projectile is **any object that once projected or dropped continues in motion by its own inertia and is influenced only by the downward force of gravity**. By definition, a projectile has a single force that acts upon it - the force of gravity.

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What is projectile motion with an example? ›
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A projectile is defined as an object thrown into space upon which gravity is the only force acting. **Throwing a ball or a bullet that is fired from a gun** are some classic examples of projectile motion. The motion of a projectile can be seen as the combination of two separate kinds of motion taking place simultaneously.