# 02 - Bullet fired from the top of a building

**Problem 02**

A bullet is fired at an initial velocity of 150 m/s and an angle of 56° at the top of a 120 m tall building. Neglecting air resistance, determine the following:

- The maximum height above the level ground that can be reached by the bullet.
- The time for the bullet to hit the ground.
- The velocity with which the bullet will hit the ground.

# The Moment Distribution Method

Moment distribution is based on the method of successive approximation developed by Hardy Cross (1885–1959) in his stay at the University of Illinois at Urbana-Champaign (UIUC). This method is applicable to all types of rigid frame analysis.

# Cycloid: equation, length of arc, area

# 821 Rectangle minus semi-circle | Moment of Inertia

# 01 Maximum area of triangle of given perimeter

# Partial Derivatives

Let F be a function of several variables, say x, y, and z. In symbols,

The partial derivative of F with respect to x is denoted by

and can be found by differentiating f(x, y, z) in terms of x and treating the variables y and z as constants.

# Problem 06 | Elimination of Arbitrary Constants

**Problem 6**

Eliminate the c_{1} and c_{2} from x = c_{1} cos ωt + c_{2} sin ωt. ω being a parameter not to be eliminated.

# Problem 05 | Elimination of Arbitrary Constants

**Problem 5**

Eliminate A and B from x = A sin (ωt + B). ω being a parameter not to be eliminated.

# Polar Coordinate Printable Paper (Free Download)

This is just a quick post and I hope you find this useful.

One time, I browse for something at the Morayta branch of National Book Store and I heard a group of students asking to the sales lady if they have a polar graph paper. From the look of her face, the sales lady seemed know nothing about a polar paper and she courteously told the students that they don't have what they are looking.