Here I am listing some of the most common used formulas

s=d/t

Speed = distance / time.

Average speed = total distance / total time.

(m/s or cm/s)

v=d/t

Velocity= displacement / time .

(m/s + direction)

a=(vf-vi)/t or Δv/t

Acceleration is equal to (final v - initial v) / time.

(m/s²)

g=10 m/s²

Gravity; acceleration of a free falling object is 10 m/s².

(m/s² or N/kg)

F=ma

Newton's 2nd Law; the force on an object is equal to the product of its mass and acceleration.

(Newtons (N))

Fg=mg=W

Force of gravity on an object is the product of the mass and gravity, which is its weight.

(N)

F=kx

Hooke's law: The extension of a spring (x) is proportional to the load placed on the spring (F), until it reaches the limit of proportionality. K is the spring constant; it is in N/m or N/cm. It is a number that describes how hard it is to stretch the spring.

(F in N, K in N/cm or N/m, x in cm or m)

Ek=1/2mv²

Kinetic Energy; energy of motion = 1/2 x mass x velocity².

(Joules (J))

Ep=mhg

Gravitational potential energy; energy due to height of an object above the Earth=mass x gravity x height (g=10 m/s²).

(J)

Ep=Ek(mgh=1/2mv²)

Conservation of energy for a falling body, energy at top (mgh) is equal to the energy at the bottom (1/2 mv²) and vice versa.

Hope you find it helpful

let me know in the comment box if you are having any further doubts

thanks

Good Luck!