Write the Word or Phrase That Best Completes Each Statement $$\mathrm { R } = \frac { \mathrm { v } \mathrm { v } _ { 0 } ^ { 2 } } { \mathrm {~g} } \sin ( 2 \theta$$

question 235

Essay

Write the word or phrase that best completes each statement or answers the question.
-The path of a projectile fired at an inclination θ (in degrees) to the horizontal with an initial speed v0 is a
parabola. The range R of the projectile, that is, the horizontal distance that the projectile travels, is found by using the
formula $$\mathrm { R } = \frac { \mathrm { v } \mathrm { v } _ { 0 } ^ { 2 } } { \mathrm {~g} } \sin ( 2 \theta$$ where g is the acceleration due to gravity. The maximum height H of the projectile is $$\mathrm { H } = \frac { \mathrm { v } _ { 0 } ^ { 2 } } { 4 \mathrm {~g} } ( 1 - \cos ( 2 \theta ) )$$ Find the range R and the maximum height H in terms of g if the projectile is fired with an initial speed of 200 meters per
second at an angle of 15° and then at an angle of 22.5°. Do not use a calculator, but simplify the answers.

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Definitions:

Positive Feedback

A biological mechanism whereby a process enhances itself in such a way that an initial change leads to a further increase in its outcome.

Circulatory Shock

A life-threatening medical condition resulting from insufficient blood flow to the tissues of the body, causing organs to fail.

Severe Blood Loss

A critical condition that occurs when a significant amount of blood is lost from the circulatory system, leading to a drop in blood pressure and potential shock.

Stratified

Layers or levels that are arranged one on top of another, often referring to the layering found in sedimentary rocks or societal hierarchies.