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A car travels from point A to B in 3 hours and returns back to point A in 5 hours. Points A and B are 150 miles apart along a straight highway. Which of the following statements most accurately describes the motion of the car?
  • a)
    The car travels at 50 mph for the first half and 30 mph for the second half.
  • b)
    The average speed is 37.5 miles per hour.
  • c)
    The total displacement of the trip is 300 miles.
  • d)
    The average velocity is 40 miles per hour.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A car travels from point A to B in 3 hours and returns back to point A...
The displacement is the shortest distance from the initial to the final position. Since we start and end at the same place, displacement is zero.
The average velocity is calculated with the displacement over time, which would also be zero.
The car could travel at any velocity or speed since we only know it traveled 150 miles in 3 hours. The velocity could have oscillated back and forth from 90 mph to 10 mph or remain constant at 50 mph.
The average speed is calculated with the distance divided by time, which would be 300 miles divided by 8 hours. 300 / 8 = 37.5 mph.
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Most Upvoted Answer
A car travels from point A to B in 3 hours and returns back to point A...
Statement: The average speed is 37.5 miles per hour.

To determine the accuracy of this statement, let's examine the given information and calculate the average speed of the car.

Given information:
- Distance from point A to B: 150 miles
- Time taken to travel from A to B: 3 hours
- Time taken to return from B to A: 5 hours

Calculating average speed:
Average speed is calculated by dividing the total distance traveled by the total time taken.

Total distance traveled = Distance from A to B + Distance from B to A = 150 miles + 150 miles = 300 miles

Total time taken = Time taken from A to B + Time taken from B to A = 3 hours + 5 hours = 8 hours

Average speed = Total distance traveled / Total time taken = 300 miles / 8 hours = 37.5 miles per hour

Therefore, the statement that the average speed is 37.5 miles per hour is accurate.

Explanation:
The average speed of an object is defined as the total distance traveled divided by the total time taken. In this case, the car traveled a total distance of 300 miles (150 miles from A to B and 150 miles from B to A) in a total time of 8 hours (3 hours from A to B and 5 hours from B to A). Dividing the total distance by the total time gives us an average speed of 37.5 miles per hour.

It is important to note that average speed does not take into account the variations in speed during different parts of the journey. The car could have traveled at different speeds during different segments of the trip, but the average speed provides a single value that represents the overall speed of the car.

Therefore, option B is the most accurate statement as it correctly describes the average speed of the car as 37.5 miles per hour.
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A car travels from point A to B in 3 hours and returns back to point A in 5 hours. Points A and B are 150 miles apart along a straight highway. Which of the following statements most accurately describes the motion of the car?a)The car travels at 50 mph for the first half and 30 mph for the second half.b)The average speed is 37.5 miles per hour.c)The total displacement of the trip is 300 miles.d)The average velocity is 40 miles per hour.Correct answer is option 'B'. Can you explain this answer? for MCAT 2025 is part of MCAT preparation. The Question and answers have been prepared according to the MCAT exam syllabus. Information about A car travels from point A to B in 3 hours and returns back to point A in 5 hours. Points A and B are 150 miles apart along a straight highway. Which of the following statements most accurately describes the motion of the car?a)The car travels at 50 mph for the first half and 30 mph for the second half.b)The average speed is 37.5 miles per hour.c)The total displacement of the trip is 300 miles.d)The average velocity is 40 miles per hour.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for MCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car travels from point A to B in 3 hours and returns back to point A in 5 hours. Points A and B are 150 miles apart along a straight highway. Which of the following statements most accurately describes the motion of the car?a)The car travels at 50 mph for the first half and 30 mph for the second half.b)The average speed is 37.5 miles per hour.c)The total displacement of the trip is 300 miles.d)The average velocity is 40 miles per hour.Correct answer is option 'B'. Can you explain this answer?.
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