If a Ball Is Thrown into the Air with a Velocity

question 41

Multiple Choice

If a ball is thrown into the air with a velocity of $58 \mathrm { ft } / \mathrm { s }$ , its height (in feet) after $t$ seconds is given by
$$H = 58 t - 9 t ^ { 2 } .$$
Find the velocity when $t = 9$ .

• A) \(- 101 \mathrm { ft } / \mathrm { s }\)
• B) \(- 104 \mathrm { ft } / \mathrm { s }\)
• C) \(- 106 \mathrm { ft } / \mathrm { s }\)
• D) \(- 103 \mathrm { ft } / \mathrm { s }\)
• E) \(- 99 \mathrm { ft } / \mathrm { s }\)

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Definitions:

Approximate

A value or quantity that is nearly but not exactly correct, often used when exact figures are not necessary or available.

Properties

Refers to characteristics or attributes that define or identify mathematical figures, numbers, and operations.

Logarithms

A logarithm with a specified base is the exponent by which the base must be raised to yield a particular number. It is a different way to express exponentiation.

Condense

The process of combining several mathematical expressions or elements into a simpler form.