The motion where it is is acted upon two forces of different directions is a characteristic of a projectile motion. These two vector forces of the resultant force are the vx and vy component forces. The resultant force is denoted by v only, while the components are vx and vy.
Now, the are to determine the x and y components of acceleration also denoted as ax and ay. By definition, acceleration is the change of velocity per change of time:
a = Δv/Δt
If we distinguish the component vectors,
ax = Δvx/Δt and ay = Δvy/Δt
The value for Δt is: Δt = 33.5 - 0 = 33.5 s. So, substituting the values,
ax = (vx₂ - vx₁)/Δt
ax = (175 m/s - 94 m/s)/33.5
ax = 2.42 m/s²
ay = (vy₂ - vy₁)/Δt
ay= (45 m/s - 110 m/s)/33.5
ay = -1.94 m/s²
Hence, the component vectors of the acceleration in (2.42,-1.94).
