Question

A body starts from the origin with an acceleration of `6 ms^-1` along the x - axis and `8 ms^-1` along the y - axis. Find its distance from the origin after `4 s`.

Answer 1

Displacement along X - axis :
`x = u_x t + (1)/(2)a_x t^2 = (1)/(2) xx 8 xx (4)^2 = 48m`
Displacement along Y - axis :
`y = u_y t + (1)/(2)a_y t^2 = (1)/(2) xx 8 xx (4)^2 = 64 m`
Total distance from the origin
=`sqrt(x^2 + y^2) = sqrt((48)^2 +(64)^2) = 80 m`.