A Force with Magnitude $12$ N Acts Directly Upward from the Xy-Plane on an Object

question 2

Multiple Choice

A force with magnitude $12$ N acts directly upward from the xy-plane on an object with mass $2$ kg. The object starts at the origin with initial velocity $\mathbf { v } ( 0 ) = 3 \mathbf { i } - 2 \mathbf { j }$ . Find its position function.

• A) \(\mathbf { r } ( t ) = 2 t ^ { 2 } \mathbf { i } - 3 t ^ { 2 } \mathbf { j } + 12 t ^ { 3 } \mathbf { k }\)
• B) \(\mathbf { r } ( t ) = 2 t \mathbf { i } - 4 t \mathbf { j } + t ^ { 2 } \mathbf { k }\)
• C) \(\mathbf { r } ( t ) = 3 t \mathbf { i } - 2 t \mathbf { j } +\) \(3\) \(\text { k }\)
• D) \(\mathbf { r } ( t ) = 3 t \mathbf { i } - 2 t \mathbf { j }\)
• E) \(\mathbf { r } ( t ) = 5 t ^ { 3 } \mathbf { i } - 4 \mathbf { j } + 2 \mathbf { k }\)

Identify different elements of the cycle of infection.

Understand the body's defense mechanisms against pathogens and disease.

Differentiate between various types of infections and their causes.

Analyze factors influencing host susceptibility to infections.

---

Definitions:

Microorganism Diversity

The variety and variability among microorganisms (bacteria, viruses, fungi, and protozoa) within their environments.

Peanut Plant

A legume crop grown primarily for its edible seeds, which are enclosed in a pod.

Winged Bean

A tropical legume plant native to Papua New Guinea, known for its edible leaves, flowers, roots, and pods.

Human Blindness

A condition where a person lacks visual perception due to physiological or neurological factors.