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A softball is thrown from the top of a 30ft building. The height of the ball is modeled by
h(t) = -16ť? + 20+ + 30
where t is time in seconds.
How long does it take for the ball to hit the ground?
Question to answer: How long does it take for the ball to hit the ground? Round to the nearest tenth.
The ball hits the ground at
seconds.

A softball is thrown from the top of a 30ft building The height of the ball is modeled by ht 16ť 20 30 where t is time in seconds How long does it take for the class=

Respuesta :

osikbro

Answer:

2 seconds

Step-by-step explanation:

When the ball hits the ground, its height (h) will be 0. You can therefore set up the following equation:

[tex]0=-16t^2+20t+30 \\\\-4(4t^2-5t-6)=0[/tex]

Factor:

[tex]-4(4t+3)(t-2)=0 \\\\t=-\dfrac{3}{4}, 2[/tex]

Since the time must be positive, it hits the ground after 2 seconds. Hope this helps!

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