A body of mass 10kg is moving east wards with a uniform speed of `2ms^(-1)`. A force of 20N is applied to it towards north. What is the magnitude of displacement after 2 seconds?

Options

A. 4m
B. 8m
C. `4 sqrt2m`
D. `8sqrt2m`

Answer

C

Explanation

Displacement towards east =x.= 4m
Accleration towards north `=("Force")/("mass")= 2ms^(-2)`
Displacemetn towards north `=y= (1)/(2) a t^(2)= 4m`
Net displacement `= sqrt(x^(2) + y^(2))= 4 sqrt2m`