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Try it! 2
A test weight is dropped from the top of a fire department
training tower onto a net three feet off the ground. Use - 16t2 for the change
in height per second.?
a.) Write an equation to determine the time
it takes for the test weight to drop on the
net.
67 ft
b.) How long does it take before the test
weight is caught by the net? Explain.

Try it 2 A test weight is dropped from the top of a fire department training tower onto a net three feet off the ground Use 16t2 for the change in height per s class=

Respuesta :

Using quadratic function concepts, it is found that:

a) The equation is: 16t² - 64 = 0.

b) It takes 4 seconds before the weight is caught by the net.

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

It is given by:

h(t) = -16t^2 + v(0)t + h(0).

In which:

  • v(0) is the initial velocity.
  • h(0) is the initial height.

Item a:

In this problem, the object starts from rest at a height of 67 ft, hence v(0) = 0 and h(0) = 67.

Then, the equation for the height is given by:

h(t) = -16t^2 + v(0)t + h(0)

h(t) = -16t^2 + 67

It hits the net when h(t) = 3, hence:

3 = -16t^2 + 67

16t² - 64 = 0.

Item b:

16t² = 64

[tex]t = \pm \sqrt{4}[/tex]

t = 4, as time is positive.

It takes 4 seconds before the weight is caught by the net.

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

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