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

question 104

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. $- 16 t ^ { 2 } + 25 t + 60 = 0$ Solve the equation for t, using the quadratic formula. Round to the nearest hundredth. Which answers are acceptable in the setting?

• A) \(t = 2.87 \mathrm { sec } , \text { discard } t = - 1.31\)
• B) \(t = 1.48 \mathrm { sec } , \text { discard } t = - 2.87\)
• C) \(t = 1.52 \sec , \text { discard } t = - 1.48\)
• D) \(t = 2.87 \mathrm { sec } \text {, discard } t = - 1.48\)
• E) no real number solution

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