A body of mass 1 kg is moving towards east with a uniform speed of 2m/s. A force of 2N is applied to it towards north. The magnitude of the displacement of the body 2s after the force is applied is

Options

A. 4 m
B. `4sqrt(2)`m
C. 8 m
D. `8sqrt(2) m`

Answer

B

Explanation

`F_(y)=ma_(y)`
`2=1xxa_(y)=2m//s^(2)`
`x:` (uniform motion): `x=u_(x)t=2xx2=4m`
`y:` (uniform acceleration):
`y=(1)/(2)a_(y)t^(2)=(1)/(2)xx2xx(2)^(2)=4m`
`s=sqrt(x^(2)+y^(2))=4sqrt(2)m`