An `alpha` particle travels inside a strainght hollow tube 2m long of a particle acceleration under uniform acceleration. How long is the particle in the tube if it enters at a speed of `1000 m//s` and leaves at `9000 m//s`. What is its acceleration during this interval?

Explanation

Let 'a' be the uniform acceleration of `alpha`- particle.
According to given problem `s=2m`
`v=9000 m//s` and `u=1000 m//s`
Since `v^(2)-u^(2)=2aS`
`(9000)^(2)-(1000)^(2)=2a(2)`
`implies a=2xx10^(7) m//s^(2)`
Let the particle remains in the tube for time `t` then `v=u+at`
`impliest=(v-u)/(a)=(9000-1000)/(2xx10^(7))=4xx10^(-4)s`