Solve the Problem $\theta$ To the Horizontal with an Initial Speed $v _ { O }$

question 117

Multiple Choice

Solve the problem.
-The path of a projectile fired at an inclination $\theta$ to the horizontal with an initial speed $v _ { O }$ is a parabola. The range $\mathrm { R }$ of the projectile, the horizontal distance that the projectile travels, is found by the formula $\mathrm { R } = \frac { \mathrm { v } _ { \mathrm { O } } ^ { 2 } \sin 2 \theta } { \mathrm { g } }$ where $\mathrm { g } = 32.2$ feet per second per second or $\mathrm { g } = 9.8$ meters per second per second. Find the range of a projectile fired with an initial velocity of 140 feet per second at an angle of $27 ^ { \circ }$ to the horizontal. Round your answer to two decimal places.

• A) \(276.34 \mathrm { ft }\)
• B) \(492.35 \mathrm { ft }\)
• C) \(492.45 \mathrm { ft }\)
• D) \(552.68 \mathrm { ft }\)

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Definitions:

Project Scheduling

The process of allocating time to tasks in a project to ensure it is completed within the set timeline, often visualized through tools such as Gantt charts.

Network Diagram

A network diagram is a graphical representation of tasks, activities, or events, organized in a way that reflects their relationships and dependencies within a project.

Slack

The amount of time that a task in a project can be delayed without causing a delay to subsequent tasks or the project completion date.

Earliest Start

The soonest time at which a particular task, project, or activity can begin, taking into account resource availability and constraints.