If R(t) Is the Position Vector of a Particle in the Plane

question 63

Multiple Choice

If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.
-Find the acceleration vector. r(t) = (cos 4t) i + (5 sin t) j

• A) a = (-4 cos 4t)i + (5 sin t)j
• B) a = (-16 cos 4t)i + (-5 sin t)j
• C) a = (-16 cos 4t)i + (-25 sin t)j
• D) a = (16 cos 4t)i + (-5 sin t)j

---

Definitions:

Charismatics

Individuals possessing a compelling charm or appeal that inspires devotion or enthusiasm in others.

Leadership Qualifications

The skills, knowledge, and personal attributes considered necessary for effective leadership, such as strategic thinking, communication abilities, and integrity.

Charismatic Leadership

A style of leadership that draws on the leader's personal charm and appeal to inspire and energize followers toward achieving a vision or goals.

Excessive Confidence

An overstated belief in one's abilities, skills, or achievements, often without sufficient evidence or justification.