The velocity of a particle is given by `vec(v) = 2hat(i)-hat(j)+2hat(k)` in `m//s` for time interval `t = 0` to `t = 10` sec. If the distance travelled by the particle in given time interval `10n`, find value of `n` is.

Answer

`3`

Explanation

Speed of particle is
`|V| = sqrt((2)^(2) + (1)^(2) + (2)^(2))`
`|V| = 3m//sec`
`Soverset(10)underset(0)(int)|V|dt = overset(10)underset(0)(int)3dt = |3t|_(0)^(10)`
`S = 30 m`