গতিবিদ্যা: সরলরৈখিক ও সমতলীয় গতি
Calculus modeling of motion in 1D and 2D, vector resolution, parabolic projectile motion, and relative velocity.
Position vector, distance vs displacement, instantaneous velocity dx/dt, and acceleration dv/dt using calculus.
Derivation of uniform acceleration equations: v=u+at, s=ut+1/2at^2, v^2=u^2+2as, and graphical slope/area analysis.
Detailed, rigorous academic notes covering calculus differentiation and integration for position, velocity, and acceleration vectors, with step-by-step proofs.
Vectors in 2D and 3D, triangle and parallelogram laws, scalar dot product, vector cross product, and unit vector resolution.
Parabolic trajectory equation, time of flight, maximum height, horizontal range, and projectile motion on an inclined plane.
Angular displacement, angular velocity, centripetal acceleration v^2/r, and relative velocity in 1D and 2D vector frames.