Question

A particle movng along x-axis has retardation dv/dt= - 2.5 root v and at t=0l v = 6.25 m/s. find time taken by the body to come to rest

Answer 1

dv/√v=-2.5dt
integrating both side,
2√v=-2.5t+k
at t=0, v=6.25
2*2.5=k=5
therefore for v=0,
t=2 sec