Lesson 1: Kinematics, Vectors & Projectile Motion
Demonstrating understanding of mechanical principles, motion, forces, and energy for NCEA Level 2 Physics.
🎯 Ngā Whāinga Akoranga | Learning Intentions
Kinematic equations (v = u + at, d = ut + 0.5at^2, v^2 = u^2 + 2ad), vector addition/resolution, and 2D projectile motion independence of horizontal (constant v) and vertical (g = -9.8 m/s^2) components.
Resolve initial velocity vectors into horizontal and vertical components, calculate flight time, maximum height, and horizontal range of projectiles.
🎥 Media Anchor & Pedagogical Scaffold
Kinematics & 2D Projectile Motion Mechanics
Video Clip: Motion and kinematics — NCEA Level 2 Mechanics series (1/6) by StudyTime NZ (Runtime: 7m 52s).
🧠 1. Before Viewing (Activate & Predict)
Why does a thrown ball follow a parabolic trajectory, and how do horizontal and vertical motions act independently of each other?
👁️ 2. During Viewing (Watch With a Job)
- Define: what is the difference between a scalar quantity and a vector quantity? Give one example of each from the video.
- Resolve: explain how to break an initial velocity into horizontal and vertical components — write the two equations the video uses.
- Apply: what happens to horizontal acceleration during projectile motion? Why? Use the video's explanation in your own words.
🗣️ 3. After Viewing & Kaiako Move (Process & Apply)
Kaiako Move: Use a ball launcher or water-dropper demonstration to show that a dropped ball and a horizontally launched ball hit the ground simultaneously.
Immediate Task: Complete Section 1 of your Level 2 Physics Mechanics Portfolio: Projectile Motion Vector Resolution & Trajectory Calculation.
⚡ Whakaoho | Do Now: Physics Mechanics Recall (10 mins)
Drop one, throw the other. At the same instant, drop a ball straight down and fire an identical ball horizontally off the same bench.
Two minutes: which hits the floor first? Commit to an answer before the demonstration. Most people say the dropped one. They land together, and the reason is the single most useful idea in projectile motion — the two directions do not talk to each other.
📖 Activity 1: Mechanical Investigation & Vector Problem Solving (25 mins)
Split every problem in two (15 min). For three projectile problems, build separate horizontal and vertical tables. Horizontal: constant velocity, a = 0. Vertical: a = −9.8 m s⁻². The only quantity they share is time. Solve each, then state which column time came from.
Resolve vectors (10 min). Given three velocities at angles, resolve each into components and recombine. Check your recombination returns the original magnitude — if it does not, your trig is inverted, and that error will follow you through the whole standard.
📝 Activity 2: Level 2 Physics Portfolio Task & Merit/Excellence Scaffolding (20 mins)
Portfolio — Section 1. Submit: (1) three projectile problems solved with separate horizontal and vertical working and time identified as the link; (2) three vector resolutions with recombination checks; (3) a paragraph explaining why a dropped and a horizontally launched ball land together.
🏫 Kaiako Planning & Pedagogy Notes
NCEA Level 2 Alignment: Direct preparation for Level 2 Physics (Demonstrate understanding of mechanics). Emphasise linking mathematical working directly to physical concept explanations for Merit/Excellence grades.