September 2014

Problem 01
Determine the equation of the curve such that the sum of the distances of any point of the curve from two points whose coordinates are (–3, 0) and (3, 0) is always equal to 8.
 

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:

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