Answer :
Final answer:
The final velocity of the car after two minutes, with an initial velocity of 22.0 m/s due east and an average acceleration of 0.14 m/s² due west, is 5.2 m/s due east.
Explanation:
To find the final velocity, we use the formula: final velocity = initial velocity + (acceleration × time). Since the time given is in minutes, we first convert it to seconds (2 minutes = 120 seconds). Therefore, the calculation is: final velocity = 22 m/s + (0.14 m/s² × 120 s).
To determine the direction, since the acceleration is due west (opposite to the initial velocity direction), it would decrease the eastward velocity. The actual computation gives: final velocity = 22 m/s - (0.14 m/s² × 120 s) = 22 m/s - 16.8 m/s = 5.2 m/s due east. Thus, the correct answer is B. 5.2 m/s due east.
