Question

Does anyone know the answer to this ??? I got the first part of it, help with the second part pls !!!

Answer 1

Solving the quadratic function, it is found that the particle returns to the ground after 7 seconds.

What is the quadratic function for the particle's height?

The particle's height after t seconds is modeled by the following equation:

s(t) = -16t² + v(0)t.

In which v(0) is the initial velocity of the particle, which in this problem is of 112 ft/s, hence:

s(t) = -16t² + 112t.

The particle hits the ground when s(t) = 0, hence:

s(t) = 0

-16t² + 112t = 0

-16t(t - 7) = 0.

Hence the non-trivial solution is:

t - 7 = 0 -> t = 7.

The particle returns to the ground after 7 seconds.

More can be learned about quadratic functions at brainly.com/question/24737967

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