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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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.