AP Physics 1 Question 187: Answer and Explanation

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Question: 187

7. An object travels along the vector d1 = 4m î + 5m ĵ and then along the vector d2 = 2m î - 3m ĵ. How far is the object from where it started?

  • A. 6.3 m
  • B. 8 m
  • C. 10 m
  • D. 14 m

Correct Answer: A

Explanation:

A

If the object travels along the vectors d1 and then d2, then the total distance travelled with be the sum of the two vectors d1 + d2:

The total distance of the object from the starting position is therefore the magnitude d1 + d2:

That's (A).