A Ball Bearing Is Placed on an Inclined Plane and Begins

question 35

Multiple Choice

A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the plane is $\theta = \frac { \pi } { 9 }$ radians. The distance (in meters) the ball bearing rolls in $t$ seconds is $s ( t ) = 4.9 ( \sin \theta ) t ^ { 2 }$ . Determine the value of $s ^ { t } ( t )$ after one second. Round numerical values in your answer to one decimal place.

• A) \(s ^ { \prime } ( t ) = 3.4\)
• B) \(s ^ { \prime } ( t ) = 1.7\)
• C) \(s ^ { \prime } ( t ) = 4.5\)
• D) \(s ^ { \prime } ( t ) = 5.7\)
• E) \(s ^ { \prime } ( t ) = 2.4\)

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Analyzing Argument

The process of evaluating the structure and content of an argument to assess its validity and soundness.

Logical Structure

The arrangement and relationship of components within a statement or argument that determines its validity.

Premises

Statements or propositions that are assumed to be true and serve as the basis for a conclusion in an argument.

Dependent Premises

Premises in an argument that rely on each other for their validity; the truth of one is dependent on the other.