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Kinematics
Motion in a straight line and plane, projectile motion
Key Concepts
- Displacement is a vector; distance is a scalar
- Uniform acceleration: equations of motion apply directly
- Projectile motion: horizontal (constant velocity) + vertical (free fall)
- Relative velocity: v_AB = v_A − v_B
- For maximum range of projectile: θ = 45°
Important Formulae
| First equation of motion | v = u + at |
| Second equation of motion | s = ut + ½at² |
| Third equation of motion | v² = u² + 2as |
| Range of projectile | R = u²sin2θ / g |
| Maximum height | H = u²sin²θ / 2g |
| Time of flight | T = 2u sinθ / g |
Quick Tips
- At maximum height of a projectile, vertical velocity = 0; horizontal velocity is unchanged.
- For equal ranges: angles θ and (90° − θ) give the same range.
- Area under velocity–time graph = displacement; slope = acceleration.
Practice Questions
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