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ACT Exam  >  ACT Questions  >  A body moves from point A (3,6) to point B (1... Start Learning for Free
A body moves from point A (3,6) to point B (11,12) to point C (15,15). What is the average speed of the body along the given path if the total time taken is 100s?
  • a)
    0.15 units/s
  • b)
    1.5 units/s
  • c)
    15 units/s
  • d)
    0.0015 units/s
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A body moves from point A (3,6) to point B (11,12) to point C (15,15)....
The distance between A and B is 10 units. The distance between B and C is 5 units. Hence, the total distance is 15 units. The total time taken is 100 s. Average speed = total distance/total time taken = 15/100 = 0.15 units/s.
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Most Upvoted Answer
A body moves from point A (3,6) to point B (11,12) to point C (15,15)....
Understanding Average Speed
Average speed is calculated by dividing the total distance traveled by the total time taken. To find the average speed of the body moving from point A to B to C, we first need to determine the total distance traveled.
1. Calculate the Distances
- Distance from A to B:
Points A(3,6) and B(11,12)
Using the distance formula:
Distance = sqrt((x2 - x1)² + (y2 - y1)²)
Distance AB = sqrt((11 - 3)² + (12 - 6)²)
= sqrt(8² + 6²)
= sqrt(64 + 36)
= sqrt(100)
= 10 units
- Distance from B to C:
Points B(11,12) and C(15,15)
Distance BC = sqrt((15 - 11)² + (15 - 12)²)
= sqrt(4² + 3²)
= sqrt(16 + 9)
= sqrt(25)
= 5 units
2. Total Distance Traveled
- Total Distance = Distance AB + Distance BC
= 10 units + 5 units
= 15 units
3. Total Time Taken
- The total time taken for the journey is provided as 100 seconds.
4. Calculate Average Speed
- Average Speed = Total Distance / Total Time
= 15 units / 100 seconds
= 0.15 units/s
Conclusion
The average speed of the body along the path from A to B to C is 0.15 units/s, making option A the correct answer.
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A body moves from point A (3,6) to point B (11,12) to point C (15,15). What is the average speed of the body along the given path if the total time taken is 100s?a)0.15 units/sb)1.5 units/sc)15 units/sd)0.0015 units/sCorrect answer is option 'A'. Can you explain this answer?
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