# Determine the position of the shooter, based on bullet trajectory.

## Definition

Determination should include using an online linear range-of-motion calculator or by using the following equation:Range = (initial velocity squared, divided by acceleration of gravity) sin 2 times the projection angle

## Process/Skill Questions

- What tools would an analyst use to determine the position of the shooter based on trajectory?
- What is the standard for determining range of fire?

## Related Standards of Learning

## Mathematics

### AII.3

The student will solve

- absolute value linear equations and inequalities;
- quadratic equations over the set of complex numbers;
- equations containing rational algebraic expressions; and
- equations containing radical expressions.

### T.6

The student will solve trigonometric equations and inequalities.

### T.8

The student will create and solve practical problems involving triangles.

## Science

### PH.5

The student will investigate and understand the interrelationships among mass, distance, force, and time through mathematical and experimental processes. Key concepts include

- linear motion;
- uniform circular motion;
- projectile motion;
- Newton’s laws of motion;
- gravitation;
- planetary motion; and
- work, power, and energy.