The Acceleration Function (In M $S^{2}$ ) and the Initial Velocity Are Given for a Particle

question 67

Multiple Choice

The acceleration function (in m/ $S^{2}$ ) and the initial velocity are given for a particle moving along a line. Find the velocity at time t and the distance traveled during the given time interval. $a(t) =t+4, v(0) =5,0 \leq t \leq 10$

• A) \(v(t)=\frac{t^{2}}{2}+5 t \mathrm{~m} / \mathrm{s}, 566 \frac{2}{3} \mathrm{~m}\)
• B) \(v(t)=\frac{t^{2}}{2}+5 \mathrm{~m} / \mathrm{s}, 616 \frac{2}{3} \mathrm{~m}\)
• C) \(v(t)=\frac{t^{2}}{2}+5 t \mathrm{~m} / \mathrm{s}, 591 \frac{2}{3} \mathrm{~m}\)
• D) \(v(t)=\frac{t^{2}}{2}+4 t+5 \mathrm{~m} / \mathrm{s}, 416 \frac{2}{3} \mathrm{~m}\)
• E) \(v(t)=\frac{t^{2}}{2}+4 t+5 \mathrm{~m} / \mathrm{s}, 516 \frac{2}{3} \mathrm{~m}\)

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Definitions:

IUPAC Name

The methodical labeling of chemical compounds following the guidelines set by the International Union of Pure and Applied Chemistry.

Iodo

A prefix indicating the presence of iodine within an organic compound.

S-butyl

A prefix used to describe the spatial arrangement of atoms in butyl groups, indicating a specific stereoisomer of the butyl group.

Cyclopentyl

A prefix for molecules containing a cyclopentane ring structure attached to another part of the molecule.