The initial coordinate of the particle is \((3,7)\)
\(x\)-coordinate is \(3\) unit
\(y\)-coordinate is \(7\) unit
As the body starts from rest so initial velocity \(=0\)
The acceleration of the body along \(x\)-axis \(=4\) units
The acceleration of the body along \(y\)-axis \(=0\)
So, after \(3\) seconds,
Using equation of motion along \(x\)-axis,
\(x=x_0+u t+\frac{1}{2} a t^2\)
as \(u=0 \quad a=4\) units \(\quad t=3\) seconds
\(s=3+\frac{1}{2} \times 4 \times 3^2=2\) lunits
As there is no motion along \(y\)-axis so it will remain unchanged
Hence the final coordinate are \((21,7)\)