Solve the Problem $\mathrm { t }$ $$v = \cos \frac { \pi } { 2 } t , s ( 0 ) = 1$$

question 158

Multiple Choice

Solve the problem.
-Given the velocity and initial position of a body moving along a coordinate line at time t, find the body's positiol $\mathrm { t }$ .
$$v = \cos \frac { \pi } { 2 } t , s ( 0 ) = 1$$

• A) \(s = \sin t + 1\)
• B) \(s = \frac { 2 } { \pi } \sin \frac { \pi } { 2 } t + \pi\)
• C) \(s = \frac { 2 } { \pi } \sin \frac { \pi } { 2 } t + 1\)
• D) \(s = 2 \pi \sin \frac { \pi } { 2 } t\) time

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Definitions:

Sodium-Potassium Exchange Pump

A membrane-bound enzyme complex that pumps sodium out of cells while pumping potassium into cells, crucial for maintaining cellular concentration and electrical gradients.

Afterpotential

The transient changes in membrane potential that follow an action potential, including hyperpolarization or depolarization phases, affecting neuron's firing rate.

Depolarization

A change in a cell's membrane potential, making it more positive, and is an essential process in the initiation of action potentials in neurons.

Rapid Influx

A swift movement or flow of substances (such as ions) into a cell or area.