Physics Worksheet

🎯 Motion in Two Dimensions

Chapter: Mechanics · Level ★★☆ · Time: 30 min

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NameClassDate

After this worksheet you can

Understand: Independence of Perpendicular MotionUnderstand: Position VectorUnderstand: Velocity ComponentsUnderstand: Relative Velocity

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1A velocity has magnitude 15 m/s at 60°. Find vx. (cos(60°)=0.5)

2Using the same velocity, find vy. (sin(60°)~0.866)

3Find the resultant magnitude of vx=6, vy=8.

4A plane flies at 200 km/h east while a 50 km/h wind blows east. Find the plane's ground speed.

🧮 Section B · Problem Solving ● INTERMEDIATE 4 × 3 = 12

5A plane flies at 200 km/h east while a 50 km/h wind blows west (opposing). Find the plane's ground speed.

6Why can horizontal and vertical motion be treated independently in 2D projectile-style problems?

7A velocity has magnitude 8 m/s at 45°. Find vx and vy (cos(45°)=sin(45°)~0.707).

8Two velocities (3,0) and (0,4) act on an object. Find the resultant vector.

🚀 Section C · Challenge ● CHALLENGE 2 × 2 = 4

9What is 'relative velocity'?

10A car travels at 60 km/h north relative to the road; another car travels at 40 km/h north. Find the first car's velocity relative to the second.

💭 Reflection — the most useful thing I learned:

A ___/4 B ___/12 C ___/4 Total ___/20 Teacher's Signature Parent's Signature

✂ answer key — fold or cut before handing out

1 = 7.5 m/s 2 = ≈12.99 m/s 3 = 10 4 = 250 km/h | 5 = 150 km/h 6 = Because gravity (or any vertical force) doesn't affect horizontal velocity, and horizontal forces don't affect vertical velocity 7 = vx≈5.66, vy≈5.66 8 = (3,4), magnitude 5 | 9 = The velocity of one object as measured from the perspective of another moving object 10 = 20 km/h north