Solve the Problem $s = \sqrt { 3 + 6 t }$

question 45

Multiple Choice

Solve the problem.
-The position of a particle moving along a coordinate line is $s = \sqrt { 3 + 6 t }$ with $s$ in meters and $t$ in seconds. Find the particle's acceleration at $t = 1 \mathrm { sec }$ .

• A) \(- \frac { 1 } { 18 } \mathrm {~m} / \mathrm { sec } ^ { 2 }\)
• B) \(1 \mathrm {~m} / \mathrm { sec } ^ { 2 }\)
• C) \(- \frac { 1 } { 3 } \mathrm {~m} / \mathrm { sec } ^ { 2 }\)
• D) \(\frac { 1 } { 3 } \mathrm {~m} / \mathrm { sec } ^ { 2 }\)

---

Definitions:

Ectoderm

The outermost layer of cells in the developing embryo, giving rise to the nervous system and skin.

Blastocyst Differentiation

The process during early embryonic development where a blastocyst forms distinct cell layers that will develop into various organs and tissues.

Zygote

A single cell formed through fertilization.

Implantation

The stage of pregnancy at which the embryo attaches to the wall of the uterus to begin development.