The displacement x of a particle of mass 1.0 kg moving the one dimension under the action of a force is related to time t by the equation `t=sqrt(x)+5` where x is in meter and t is in second. The magnitude of the momentum of the particle

Options

A. remains constant
B. increases with time
C. first decreases the then increases with time
D. decreases with time

Answer

3

Explanation

`t=sqrt(x)+5`
`rArr x=(t-5)^(2)`
`rArr v=2(t-5)`
`:.` as time increases, v reduce for tlt5 but when tgt5, 't' increases , 'v' alos increases