The Velocity of an Object as a Function of Time

question 45

Multiple Choice

The velocity of an object as a function of time is given by v(t) = 2.00 m/s + (3.00 m/s) t - (1.0 m/s²) t². Determine the instantaneous acceleration of the object at time t = 5.00 s.

• A) -8.00 m/s²
• B) -7.00 m/s²
• C) 2.00 m/s²
• D) 0.00 m/s²
• E) -2.00 m/s²

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Definitions:

Common Cold

A viral infectious disease of the upper respiratory tract, characterized by symptoms such as sneezing, sore throat, and congestion, commonly caused by rhinoviruses.

Influenza

A highly contagious viral infection that affects the respiratory system, characterized by fever, cough, and muscle aches.

Allergy

An abnormal immune system response to certain substances, known as allergens, that are typically harmless to most people.

Mild Fatigue

A low level of tiredness or exhaustion that can usually be relieved by rest.