Solve the Equation for the Indicated Variable $\mathrm { Ve } = \frac { 1 } { 2 } \mathrm { mv }^ 2$

question 304

Multiple Choice

Solve the equation for the indicated variable. Assume no denominator is 0.
- $\mathrm { Ve } = \frac { 1 } { 2 } \mathrm { mv }^ 2$ , for $\mathrm { v }$

• A) \(v = \pm \sqrt { 2 \mathrm { Ve } }\)
• B) \(v = \frac { \pm \sqrt { 2 \mathrm { mVe } } } { \mathrm { m } }\)
• C) \(v = \pm \sqrt { \frac { \mathrm { Ve } } { 2 \mathrm {~m} } }\)
• D) \(v = \pm 2 \frac { \sqrt { \mathrm { Ve } } } { \mathrm { m } }\)

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Definitions:

Inferior Good

A type of good for which demand decreases as the income of consumers increases, opposite of normal goods.

Income Increases

Situations where individuals or households experience a rise in earnings, affecting their purchasing power and consumption choices.

Demand Curve

A graphical representation that shows the relationship between the quantity of a good or service consumers are willing and able to purchase and its price.

Excess Demand

A market condition where the quantity demanded of a good exceeds the quantity supplied at a given price, often leading to price increases.