Equation of motion derivation with the help of diffferentiation and integretion method

Equations of Motion

Equation of Motion Questions | Motion under Gravity

Derive the following equations of motion for an object moving with constant acceleration along a straight line : s_nth = v_0 + a/2 (2n-1) .

Derive graphically the equation of motion for position-velocity relation of a body moving with uniform acceleration.

State Poiseuille's formula. Derive it with the help of dimensional analysis.

Find the derivative of x using first principle method.

Using second law of motion, derive the relation between force and acceleration.

Define trajectory of a projectile and hence derive equation of motion of the projectile when projected at an angle theta with horizontal direction.

Derive Poiseuille’s formula with the help of dimensional analysis.