A body starts from rest from the origin with an acceleration of `3 m//s(2)` along the x-axis and `4 m//s^(2)` along the y-axis. Its distance from the origin after `2 s` will be

Options

A. 56 m
B. 64 m
C. 80 m
D. 128 m

Answer

C

Explanation

`S_x=u_x t + 1/2 a_x t^2 rArr S_x = 1/2xx6xx16`=48 m
`S_y=u_y t + 1/2 a_y t^2 rArr S_y = 1/2 xx 8 xx 16` = 64 m
`S=sqrt(S_x^2+S_y^2)` = 80 m