A force of `(3 hati + 4 hatj)` Newton acts on a body and it by `(3 hati + 4 hatj)m`. The work done by the force is

Options

A. `(18,-1.5)`
B. `(9,1.5)`
C. `(18,1.5)`
D. `(9,-1.5)`

Answer

A

Explanation

Intial velocity along X - axis and Y - axis are 3 and `4ms^(-1) ` respectively , Acceleration along
`X and Y - " axes " =(2)/(1) and (-3 )/(1) or 2 and -3 `
Respectively
` S_(x) = ut +(1)/(2) at^(2) = 3xx3 +(1)/(2) xx2 xx9 = 18 m`
` s_(y) = ut +(1)/(2) at^(2 ) = 4 xx3 +(1)/(2) xx-3xx9 = 12 - 13.5 `
` =- 1.5 m `
so required x and y- coordinate = `(18,-1.5)`