Answer to Question #64921 in Calculus for Sanjiv

Question

1. Projectile Range
The range r of a projectile fired with an initial velocity at an angle with the horizontal is R= (initial velocity)^2Sin2(angle)/g where g is the acceleration due to gravity. Find the angle such that the range is maximum.

2. Illumination
A light source is located over the center of a circular table of diameter 4 feet. Find the height h of the light source such that the illumination I at the perimeter of the table is maximum if I=k(sina)/s^2, where s is the slant height, a is the angle at which the light strikes the table, and k is a constant.