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 vx = 5 m/s and vy = 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) = √74 ≈ 8.6 m/s. Direction = arctan(7/5) ≈ 54.5° above the x-axis.

Hint

Use Pythagorean theorem for magnitude and arctan for direction.

Question Info