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Pj Problems - Overview

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Maximum Range Of Projectile

A projectile is fired with an initial velocity of 2000 ft/sec. How long does it take to reach a target at maximum range?

**The string**:

S_{7}P_{4}A_{41} (Motion - Linear).
**The math**:

P_{j} Problem of Interest (PPI) is of type *motion*. Problems of distance traveled are *motion problems*. The linearity is because the focus is on the range (horizontal distance) of projectile.

Maximum range = V^{2}/32 (V is initial velocity). Also angle of fire = 45^{0}.

So, maximum range = (2000)^{2}/32 = Vtcos45

So, t = √2(10^{6})/(8 x 2000) = √2(62.5).

So, it take the projectile √2(62.5) secs to reach target at maximum range.

Math

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

Derivation Of The Area Of A Circle, A Sector Of A Circle And A Circular Ring

Derivation Of The Area Of A Trapezoid, A Rectangle And A Triangle

Derivation Of The Area Of An Ellipse

Derivation Of Volume Of A Cylinder

Derivation Of Volume Of A Sphere

Derivation Of Volume Of A Cone

Derivation Of Volume Of A Torus

Derivation Of Volume Of A Paraboloid

Volume Obtained By Revolving The Curve y = x^{2} About The X Axis

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Introduction To Group Theory

Advanced Calculus - Partial Derivatives

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Advanced Calculus - Multiple Integrals

Production Schedule That Maximizes Profit Given Constraint Equation

Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation

Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions

Fourier Series

Derivation Of Heat Equation For A One-Dimensional Heat Flow

Homogenizing-Non-Homogeneous-Time-Varying-IBVP-Boundary-Condition

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Periodic Table

Composition And Structure Of Matter

How Matter Gets Composed

How Matter Gets Composed (2)

Molecular Structure Of Matter

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Molecular Orbital Theory

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