What is the magnitude of the vector with the following components; X= 3m/s and y=4m/s
Correct answer: B. 5m/s
- A. 2m/s
- B. 5m/s
- C. 25m/s
- D. √7m/s
Explanation
The correct answer is Option B: 5m/s. This result is obtained by applying the Pythagorean theorem to calculate the magnitude of the vector with components X = 3 m/s and y = 4 m/s. The formula used is V=√(X² +y²)=√(3²+4²)=√25=5m/s. Option A (2 m/s) is incorrect as it does not use the Pythagorean theorem. Option C (25 m/s) is the square of the magnitude, not the magnitude itself. Finally, Option D (√7 m/s) results from an incorrect calculation.
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