Summary
Projectiles involve analyzing the motion of objects under the influence of gravity, often ignoring air resistance and rotation. The motion is split into horizontal and vertical components, with horizontal motion having constant velocity and vertical motion having constant acceleration due to gravity.
- Horizontal projection — Motion of a projectile with no initial vertical velocity. Example: A particle projected horizontally at 25 m/s from a height of 78.4 meters.
- Horizontal and vertical components — The initial velocity of a projectile can be split into horizontal and vertical components. Example: For a velocity U = (3i+5j) m/s, the horizontal component is 3 m/s and the vertical component is 5 m/s.
- Projection at any angle — Involves resolving initial velocity into components and calculating range, time of flight, and greatest height. Example: A particle projected at 28 m/s at a 30° angle reaches a certain height and distance.
- Projectile motion formulae — Equations used to calculate the path, time of flight, range, and height of a projectile. Example: Deriving the formula for the range of a projectile.
Exam Tips
Key Definitions to Remember
- Horizontal projection
- Horizontal and vertical components
- Projection at any angle
Common Confusions
- Mixing up horizontal and vertical components
- Forgetting to use gravity (g = 9.8 m/s²) in vertical calculations
Typical Exam Questions
- What is the time taken for a horizontally projected particle to reach the ground? Use vertical motion equations to find time.
- How do you find the range of a projectile projected at an angle? Use horizontal motion equations with time of flight.
- What is the greatest height reached by a projectile? Set vertical velocity to zero and solve for height.
What Examiners Usually Test
- Ability to resolve velocity into components
- Application of constant acceleration formulae
- Calculation of range, time of flight, and greatest height