Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. When the frisbee is thrown, it follows a parabolic path that is modeled by the function h(t) = – 0.145t2 + 0.019t + 5.5. How many seconds will it take for the frisbee to hit the ground? –6.2 seconds
–6.1 seconds
5.5 seconds
6.2 seconds

Answer:

6.2 seconds

Explanation:

             Given function: h(t) = – 0.145t² + 0.019t + 5.5

solve the quadratic equation:  

using the formula:  

Solving steps:

→  –0.145t² + 0.019t + 5.5 = 0

→  [–0.145t² + 0.019t + 5.5 = 0 ]* 100

→  -145t² + 19t + 5500 = 0

→  

→  

→   ,

→  

Time cannot be negative here.

1/5^2 = 7.56/45

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c