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A rocket is launched from the ground at an initial velocity of 39.2 meters per second. Which equation can be used to model the height of the rocket after t seconds?

s(t) = –4.9t2 + 39.2
s(t) = –4.9t2 + 39.2t
s(t) = –4.9t2 + 39.2t + 39.2
s(t) = –4.9t2 + 39.2t – 39.2

Respuesta :

The quadratic equation that models the height of the rocket after t seconds is:

s(t) = -4.9t² + 39.2t.

What is the quadratic function for a projectile's height?

Considering the height in meters, the equation is given by:

s(t) = -4.9t² + v(0)t + h(0)

In which:

  • v(0) is the initial velocity, in m/s.
  • h(0) is the initial height, in m.

In this problem, we have that v(0) = 39.2, h(0) = 0, hence the equation is:

s(t) = -4.9t² + 39.2t.

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

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