The Initial Point for the Vector Is the Origin, And \theta

question 7

Multiple Choice

The initial point for the vector is the origin, and $\theta$ denotes the angle (measured counterclockwise) from the $X$ -axis to the vector. The magnitude of $\mathrm { V }$ is $30$ cm/sec, and $\theta = 120 ^ { \circ }$ Compute the horizontal and vertical components of the given vector. (Round your answers to two decimal places.)

• A) \(V _ { x } = 25.98\) cm/sec \(V _ { y } \approx - 15\) cm/sec
• B) \(V _ { x } = 15\) cm/sec \(V _ { y } \approx 25.98\) cm/sec
• C) \(V _ { z } = - 15\) cm/sec \(V _ { y } \approx 25.98\) cm/sec
• D) \(V _ { x } = 21.21\) cm/sec \(V _ { y } \approx 21.21\) cm/sec
• E) \(V _ { x } \approx - 25.98 \mathrm {~cm} / \mathrm { sec } V _ { y } \approx 15 \mathrm {~cm} / \mathrm { sec }\)

---

Definitions:

Semi-annually

Occurring twice a year or every six months.

Compounded

The process of calculating interest on both the initial principal and the accumulated interest from previous periods, leading to an increase in interest earnings over time.

Quarterly

Pertaining to a period of three months or occurring every three months.

Retires

Withdraws from active working life, often due to reaching a certain age or completing a specific length of service.