Final answer:
The final velocity of the vehicle, taking into account the effect of the wind, would be 55 mph east.
Step-by-step explanation:
The final velocity of the vehicle can be found by subtracting the wind velocity from the vehicle's initial velocity. Since the vehicle is traveling at 75 mph east and there is a 20 mph westward wind, we need to convert the wind velocity to eastward velocity to match the direction of the vehicle's velocity. Thus, the relative velocity of the wind is 75 mph (east) - 20 mph (west) = 55 mph (east).
Therefore, the final velocity of the vehicle, taking into account the effect of the wind, would be 55 mph east.