# PH.5 a, c - Linear and Projectile Motion

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

a)  linear motion; and

c)  projectile motion.

Bloom's Levels:  Analyze; Understand

Adopted: 2010

### BIG IDEAS

• I can determine how long it would take me to walk to the mall.
• I can explain how rockets work.

### UNDERSTANDING THE STANDARD

• Linear motion graphs include
• displacement (d) vs. time (t)
• velocity (v) vs. time (t)
• acceleration (a) vs. time (t)
• Position, displacement, velocity, and acceleration are vector quantities.
• The concept of motion is described in terms of position, displacement, velocity, acceleration, and their dependence on time.
• Graphical analysis is used as a representation of motion.
• Horizontal and vertical components of the motion of a projectile are independent of one another.
• In a uniform vertical gravitational field with negligible air resistance, a projectile moves with constant horizontal velocity and constant vertical acceleration.
• Newton’s three laws of motion are the basis for understanding the mechanical universe.
• The total force on a body can be represented as a vector sum of constituent forces.

### ESSENTIALS

In order to meet this standard, it is expected that students will

a) construct and analyze displacement (d) vs. time (t), velocity (v) vs. time (t), and acceleration (a) vs. time (t) graphs.

solve problems involving displacement, velocity, acceleration, and time in one and two dimensions (only constant acceleration).

c) resolve vector diagrams involving displacement and velocity into their components along perpendicular axes.

draw vector diagrams of a projectile’s motion. Find range, trajectory, height of the projectile, and time of flight (uniform gravitational field, no air resistance).

solve problems related to free-falling objects, including 2-D motion.

### KEY VOCABULARY

Updated: Dec 01, 2017