The Equation Below Is in the Form $h = a t ^ { 2 } + b t + c$

question 78

Multiple Choice

The equation below is in the form $h = a t ^ { 2 } + b t + c$ The input is the time t, in seconds. The output is the height h of an object tossed straight up from a height c, in feet, with an initial velocity b, in feet per second. $- 16 t ^ { 2 } + 15 t + 110 = 0$ Solve the equation for t, using the quadratic formula. Round to the nearest hundredth. Which answers are acceptable in the setting?

• A) \(t = 2.02 \mathrm { sec } \text {, discard } t = - 3.13\)
• B) \(t = 3.13 \mathrm { sec } , \text { discard } t = - 2.19\)
• C) \(t = 1.78 \mathrm { sec } , \text { discard } t = - 2.02\)
• D) \(t = 3.13 \mathrm { sec } , \text { discard } t = - 2.02\)
• E) no real-number solution

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Definitions:

Correlation

A statistical measure that indicates the extent to which two or more variables fluctuate together, showing the relationship but not causation between them.

Causation

The relationship between cause and effect, where one event or action directly results in another.

Experiments

Systematic and scientific procedures carried out under controlled conditions to investigate a hypothesis or demonstrate a known fact.

Parental Support

The assistance and backing provided by parents to their children, which can be emotional, physical, or financial in nature.