A Ball Is Thrown at an Angle Of $45 ^ { \circ }$

question 89

Multiple Choice

A ball is thrown at an angle of $45 ^ { \circ }$ to the ground. If the ball lands $30$ m away, what was the initial speed of the ball? Let $g = 9.82 \mathrm {~m} / \mathrm { s }$ .

• A) \(v _ { 0 } \approx 17 \mathrm {~m} / \mathrm { s }\)
• B) \(v _ { 0 } \approx 22 \mathrm {~m} / \mathrm { s }\).
• C) \(v _ { 0 } \approx 42 \mathrm {~m} / \mathrm { s }\) .
• D) \(v _ { 0 } \approx 27 \mathrm {~m} / \mathrm { s }\)
• E) \(v _ { 0 } \approx 27 \mathrm {~m} / \mathrm { s }\).

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Definitions:

Mood

In logic, the mood of a categorical syllogism refers to the arrangement or type of the categorical propositions (A, E, I, O) it contains.

Premises

Statements or propositions that provide the basis for a conclusion in an argument.

Major Premise

The first statement in a syllogism that contains the major term and provides a general principle or rule.

Middle Term

In a syllogism, the term that appears in both premises but not in the conclusion, used to connect the other two terms of the argument.