These formulas are fundamental to understanding the concepts of motion, sound, and gravitation.

Motion Formulas:

1. Distance = Speed × Time (d = s × t)
2. Speed = Distance / Time (s = d / t)
3. Velocity = Displacement / Time (v = Δx / t)
4. Acceleration = Change in Velocity / Time (a = Δv / t)
5. Force = Mass × Acceleration (F = m × a)
6. Momentum = Mass × Velocity (p = m × v)
7. Kinetic Energy = (1/2) × Mass × Velocity^2 (KE = (1/2) × m × v^2)
8. Potential Energy = Mass × Acceleration Due to Gravity × Height (PE = m × g × h)

Sound Formulas:

1. Speed of Sound = 343 m/s (at room temperature and atmospheric pressure)
2. Frequency = Number of Oscillations / Time (f = n / t)
3. Wavelength = Speed of Sound / Frequency (λ = v / f)
4. Amplitude = Maximum Displacement from Equilibrium (A = Δx_max)
5. Intensity = Power / Area (I = P / A)
6. Decibel Level = 10 × log(Intensity / Reference Intensity) (dB = 10 × log(I / I_ref))

Gravitation Formulas:

1. Universal Law of Gravitation: F = G × (m1 × m2) / r^2
    - F: gravitational force
    - G: gravitational constant (6.67408e-11 N m^2 kg^-2)
    - m1, m2: masses of objects
    - r: distance between objects
2. Acceleration Due to Gravity: g = G × M / r^2
    - g: acceleration due to gravity
    - G: gravitational constant
    - M: mass of Earth
    - r: radius of Earth
3. Gravitational Potential Energy: U = -G × M × m / r
    - U: gravitational potential energy
    - G: gravitational constant
    - M: mass of Earth
    - m: mass of object
    - r: distance between object and Earth

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