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PHY 101 PHY 101 Past Questions Objective Question
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Question

A body moves in an x-y plane with velocity. The components of v are v_x = 5 m/s and v_y = 7 m/s along x and y-axes respectively. What is the magnitude and direction of the velocity?
Options
A 9.6 m/s, 54.5°
B 8.4 m/s, 54.5°
C 8.6 m/s, 54.5°
Correct Answer
D 9.6 m/s, 20.0°
Correct Answer

Option C is the correct answer.

Detailed Explanation

Magnitude = √(5² + 7²) = √(25 + 49) = √74 ≈ 8.6 m/s. Direction θ = tan⁻¹(7/5) = tan⁻¹(1.4) ≈ 54.5°.

Hint

Use Pythagorean theorem for magnitude and arctan for direction.

Question Info

Course: PHY 101
Topic: PHY 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 1160 of 1250
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