Question

An object travels with velocity v = 4.0 meters/second and it makes an angle of 60.0° with the positive direction of the y-axis. Calculate the possible values of vx.

Answer 1

Answer on Question #54194-Physics-Mechanics-Kinematics-Dynamics

An object travels with velocity $v = 4.0$ meters/second and it makes an angle of $60.0{}^{\circ}$ with the positive direction of the x-axis. Calculate the possible values of $v_{x}$ .

A. -3.5 meters/second and +3.5 meters/second

B. -2.0 meters/second and +2.0 meters/second

C. -2.5 meters/second and +2.5 meters/second

D. -3.0 meters/second and +3.0 meters/second

Solution

The magnitude of $v_{x}$ is

$$v _ {x} = v \cos 6 0. 0 {}^ {\circ} = 4. 0 \frac {\text {m e t e r s}}{\text {s e c o n d}} \cdot \frac {1}{2} = 2. 0 \frac {\text {m e t e r s}}{\text {s e c o n d}}.$$

Thus, the possible values of $v_{x}$ are $\pm 2.0 \frac{\text{meters}}{\text{second}}$ .

Answer: B. -2.0 meters/second and +2.0 meters/second.