Question

what is the answer of this question please explain?​

Answer 1

a = kx  

a= dv/dt = [dv/dx]*[dx/dt]  

a = vdv/dx  

vdv = adx  

vdv = kxdx  

v^2/2 = k*x^2/2 + C  

as at t = 0 , x = 0 and velocity = u  

so C = u^2/2  

v^2/2 = kx^2/2 + u^2/2  

v^2 = u^2 + kx^2