Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

If vector A represents 5 m of displacement east and vector B represents 10 m of displacement north, find addition of the two displacements.
Options
A 4 km, 16 degrees
B 15 km, 61 degrees
C 11 km, 63 degrees
Correct Answer
D 7 km, 45 degrees
Correct Answer

Option C is the correct answer.

Detailed Explanation

Magnitude = √(5² + 10²) = √(25 + 100) = √125 = 11.18 km ≈ 11 km. Angle θ = tan⁻¹(10/5) = tan⁻¹(2) = 63.4°.

Hint

Use Pythagorean theorem and trigonometry.

Question Info