Question Detail

PHY 101 Last Min Prep Objective Question
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Question

A body moves in an x-y plane with velocity v m/s. 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 = √(v_x² + v_y²) = √(25 + 49) = √74 ≈ 8.6 m/s. Direction θ = tan⁻¹(v_y/v_x) = tan⁻¹(7/5) = tan⁻¹(1.4) ≈ 54.5°.

Hint

Magnitude = √(x² + y²), direction = tan⁻¹(y/x).

Question Info

Course: PHY 101
Topic: Last Min Prep
Type: Objective
Difficulty: Not specified
Question 1203 of 1250
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