#### Science - 2018-19

# 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*