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