Motion in a Plane, Grade 10

In which grade is one-dimensional motion typically studied?

Which of the following is an example of one-dimensional motion?

What type of motion is described when an object moves in both the x and y directions?

What concept is essential for describing motion in two dimensions?

If $\Delta \vec{r}$ represents the displacement vector, what do $\Delta x$ and $\Delta y$ represent?

What is the formula for the magnitude of the displacement $\Delta r$?

How is the direction $\theta$ of the displacement $\Delta \vec{r}$ found?

What is one of the learning outcomes related to the study of motion?

What does $\Delta \vec{r} = \Delta x + \Delta y$ represent?

What type of motion is projectile motion?

Two-Dimensional Motion

Perpendicular Components

Magnitude of Displacement

Direction of Displacement

Chapter 1 focuses on Motion in a Plane.
Grade 10 covered one-dimensional motion like linear and free fall, considered the simplest motion type.

Students will examine two-dimensional motion, including projectile and circular motion.
Angular speed and angular acceleration will be examined.
Two-dimensional motion problems will be solved.
There will be an understanding of the proper use of quantities, notations, and units for two-dimensional motion,
This chapter considers motion in two dimensions (or a plane), with several important cases.

Cases are considered where an object moves in a plane, potentially in both x and y directions simultaneously.
This type of movement is labeled as two-dimensional motion.
Describing the motion of a 2D object requires the use of vector concepts
Consider an object moves along a curved path between points P and Q.
The displacement vector from P to Q is denoted as Δr.
The perpendicular components of Δr are Δx and Δy.
Vector equation: Δr = Δx + Δy
The magnitude of Δr is calculated as: Δr = √(Δx)² + (Δy)²
The direction of Δr can be found using: tan θ = Δy / Δx, therefore θ = tan⁻¹ (Δy / Δx)