The x and y components of the object's acceleration is 7.99 m/s² and 6.02 m/s² respectively.
How to draw the vector diagram of the acceleration?
The vector diagram of the object's acceleration will consist of the a line drawn at 30 degrees east north as shown in the diagram.
The components of the object's acceleration is calculated as;
ax = a cos (θ)
ax = 10 m/s² x cos (37)
ax = 7.99 m/s²
ay = a sin(θ)
ay = 10 m/s² x sin (37)
ay = 6.02 m/s²
The vector diagram is shown in the image attached.