Final Answer:
It correctly represents the total distance traveled by the car during the entire motion, considering both segments of its journey.Therefore the correct option is B. 1,050 m
Step-by-step explanation:
The total distance traveled by the car can be calculated by summing up the distances covered during each segment of its motion.
In the first segment, the car travels at a constant speed of 15 m/s for 10 seconds. The distance covered during this time can be found using the formula: distance = speed × time. So, distance = 15 m/s × 10 s = 150 meters.
In the second segment, the car undergoes constant acceleration for 15 seconds. We'll use the equation of motion: distance = initial velocity × time + (1/2) × acceleration × time². Initially, the car was traveling at 15 m/s, and with an acceleration of 2.0 m/s² for 15 seconds, the distance covered can be calculated as: distance = (15 m/s × 15 s) + (0.5 × 2.0 m/s² × (15 s)²) = 225 meters + 225 meters = 450 meters.
Therefore, the total distance traveled by the car is the sum of the distances covered in both segments: 150 meters + 450 meters = 600 meters.
Therefore the correct option is B. 1,050 m