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

question 6

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. $- 16 t ^ { 2 } + 20 t + 80 = - 20$ Solve the equation for t, using the quadratic formula. Round to the nearest hundredth. Which answers are acceptable in the setting?

• A) \(t = 1.78 \mathrm { sec } , \text { discard } t = - 3.20\)
• B) \(t = 1.85 \mathrm { sec } , \text { discard } t = - 1.78\)
• C) \(t = 3.20 \mathrm { sec } , \text { discard } t = - 1.95\)
• D) \(t = 3.20 \mathrm { sec } , \text { discard } t = - 1.78\)
• E) no real-number solution

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