A Ball Thrown from Ground Level with Initial Speed V $\alpha$

question 119

Multiple Choice

A ball thrown from ground level with initial speed v and at an angle $\alpha$ with the horizontal hits the ground at a distance $s = \frac { v ^ { 2 } \sin ( 2 \alpha ) } { g }$ away from the starting point (where g is the acceleration due to gravity) .Calculate the differential ds.

• A) \(d s = \frac { 2 v \sin ( 2 \alpha ) } { g } d v + \frac { 2 v ^ { 2 } \cos ( 2 \alpha ) } { g } d \alpha\)
• B) \(d s = 2 v \sin ( 2 \alpha ) d v + 2 v ^ { 2 } \cos ( 2 \alpha ) d \alpha\)
• C) \(d s = \frac { 2 v \sin ( 2 \alpha ) } { g } d v + \frac { 2 v ^ { 2 } \sin ( 2 \alpha ) \cos ( 2 \alpha ) } { g } d \alpha\)
• D) \(d s = \frac { 2 v \sin ( 2 \alpha ) } { g } d v - \frac { 2 v ^ { 2 } \cos ( 2 \alpha ) } { g } d \alpha\)

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Definitions:

Current Ratio

A liquidity ratio that measures a company's ability to pay short-term obligations or those due within one year.

Acid-test Ratio

A financial metric used to evaluate a company's short-term liquidity position by comparing its most liquid assets (excluding inventory) to its current liabilities.

Standards for Comparison

Benchmarks or criteria used to evaluate the performance, condition, or quality of something.

Competitor Performance

An analysis of how well competing companies are doing in the marketplace, often used for benchmarking and strategic planning.