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. `5 m`
B. `10 m`
C. `15 m`
D. `20 m`

Answer

B

Explanation

`x = (1)/(2)a_(x) t^(2) = (1)/(2).3.(2)^(2) = 6 m`
`y = (1)/(2)a_(y) t^(2) = (1)/(2).4.(2)^(2) = 8 m`
`s = sqrt(x^(2) + y^(2)) = 10 m`