Rectilinear Motion Problems And Solutions Mathalino 📍 💫

calculates the initial velocity and height of a stone thrown vertically that returns in 10 seconds. Constant Deceleration: Problem 1012

[ v , dv = 4s , ds ] Integrate: [ \fracv^22 = 2s^2 + C ] At ( s = 1 ) m, ( v = 0 ): [ 0 = 2(1)^2 + C \quad \Rightarrow \quad C = -2 ] Thus: [ \fracv^22 = 2s^2 - 2 ] [ v^2 = 4s^2 - 4 ] [ \boxedv(s) = \pm 2\sqrts^2 - 1 ] rectilinear motion problems and solutions mathalino