Find the Slope of the Curve at the Indicated Point $X$

question 102

Multiple Choice

Find the slope of the curve at the indicated point.
-The equation for free fall at the surface of Planet $X$ is s $= 12.05 t ^ { 2 } \mathrm {~m}$ with $\mathrm { t }$ in seconds. Assume a rock is dropped from the top of a $600 \mathrm {~m}$ cliff. Find the speed of the rock at $t = 2 \mathrm { sec }$ .

• A) \(49.2 \mathrm {~m} / \mathrm { sec }\)
• B) \(24.1 \mathrm {~m} / \mathrm { sec }\)
• C) \(48.2 \mathrm {~m} / \mathrm { sec }\)
• D) \(23.1 \mathrm {~m} / \mathrm { sec }\)

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Definitions:

Carbon Dioxide Fixation

The process of converting carbon dioxide into organic compounds, such as glucose, during photosynthesis.

Rubisco

An enzyme involved in the first major step of carbon fixation, a process by which atmospheric carbon dioxide is converted by plants to energy-rich molecules.

RuBP

Ribulose bisphosphate, a substance that plays a critical role in the process of carbon fixation in photosynthesis.

PGAL

PGAL, or Phosphoglyceraldehyde, is a three-carbon molecule that plays a crucial role in both photosynthesis and glycolysis, acting as an intermediate in the conversion of glucose and other sugars.