Question Detail

PHY 101 PHY 101 Past Questions Objective Question

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. What is the magnitude of the velocity?
Options
A 6 m/s
B 8.6 m/s
Correct Answer
C 12 m/s
D 74 m/s
Correct Answer

Option B is the correct answer.

Detailed Explanation

The magnitude of velocity is given by v = √(v_x² + v_y²) = √(5² + 7²) = √(25 + 49) = √74 = 8.6 m/s.

Hint

Use the Pythagorean theorem: v = √(v_x² + v_y²).

Question Info