Class 11 Physics - Kinematics Formula Sheet
1. Basic Definitions
- Displacement (s) = x_final - x_initial
- Velocity (v) = dx/dt
- Acceleration (a) = dv/dt
2. Equations of Motion (Uniform Acceleration)
- v = u + at
- s = ut + 1/2 at²
- v² = u² + 2as
- s = (u + v)/2 × t
3. Relative Velocity
- Same direction: v_rel = v1 - v2
- Opposite direction: v_rel = v1 + v2
4. Motion Under Gravity (take g = 9.8 m/s²)
- v = u - gt
- h = ut - 1/2 gt²
- v² = u² - 2gh
5. Projectile Motion (Launch speed = u, angle = theta)
- Range R = (u² sin2theta) / g
- Max Height H = (u² sin²theta) / (2g)
- Time of Flight T = (2u sintheta) / g
- Horizontal Velocity = u costheta
- Vertical Velocity = u sintheta
6. Graphical Interpretation
- Displacement-Time: Slope = Velocity
- Velocity-Time: Slope = Acceleration, Area = Displacement
- Acceleration-Time: Area = Change in velocity
1. Basic Definitions
- Displacement (s) = x_final - x_initial
- Velocity (v) = dx/dt
- Acceleration (a) = dv/dt
2. Equations of Motion (Uniform Acceleration)
- v = u + at
- s = ut + 1/2 at²
- v² = u² + 2as
- s = (u + v)/2 × t
3. Relative Velocity
- Same direction: v_rel = v1 - v2
- Opposite direction: v_rel = v1 + v2
4. Motion Under Gravity (take g = 9.8 m/s²)
- v = u - gt
- h = ut - 1/2 gt²
- v² = u² - 2gh
5. Projectile Motion (Launch speed = u, angle = theta)
- Range R = (u² sin2theta) / g
- Max Height H = (u² sin²theta) / (2g)
- Time of Flight T = (2u sintheta) / g
- Horizontal Velocity = u costheta
- Vertical Velocity = u sintheta
6. Graphical Interpretation
- Displacement-Time: Slope = Velocity
- Velocity-Time: Slope = Acceleration, Area = Displacement
- Acceleration-Time: Area = Change in velocity
