The velocity of particle moving in the positive direction of x axis varies as `v=alphasqrt(x)`, where `alpha` is a positive constnat. Assuming that at moment `t=0`, the particle was located at the point x=0. find.
(a) the time dependence of the velocity and the acceleration of the particle.
(b) the mean velocity of the particle averaged over the time that the particle takes to cover first s meters of the path

Answer

`14.3 s, 0.45 ms^(-2)`

Explanation

`(v_(A)+v_(B))t=2piR, (0.7+1.5) t=2xx22/7xx5`
`t=(2xx22xx5)/(7xx2.2)xx10=100/7`sec`=14.3` sec
Acceleration of B `=v_(B)^(2)/R=1.5^(2)/5=0.45 m//s^(2)`