Question

select the correct answer. if v = 5.00 meters/second and makes an angle of 60° with the negative direction of the y - axis, calculate all possible values of v_x. a. -4.33 meters/second and +4.33 meters/second b. only 2.50 meters/second c. -2.50 meters/second and +2.50 meters/second d. only 4.33 meters/second

Explanation:

Step1: Determine angle with x-axis

Angle with -y-axis=60°, so with x-axis=30°.

Step2: Calculate vₓ for two directions

Right: \( v_x = 5\cos(30^\circ) \approx 4.33 \, \text{m/s} \); Left: \( v_x = 5\cos(150^\circ) \approx -4.33 \, \text{m/s} \)

Answer:

A. -4.33 meters/second and +4.33 meters/second