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1. Jason kicked a ball into the air. The function
h(t) = 80t - 16t2 models the height of the ball, in feet, t
seconds after it was kicked. How long does it take the
ball to hit the ground?
A. 2.5 seconds B. 5 seconds
C. 8.5 seconds D. 10 seconds

Respuesta :

opudodennis

Answer:

5 seconds

Step-by-step explanation:

The height is modeled by the function [tex]h(t)=80t-16t^2[/tex] :

#Factor out t:

[tex]h(t)=80t-16t^2\\\\\#Equate \ to \ zero\\0=80t-16t^2\\\\t(80-16t)=0\\\\t=0\\\\80-16t=0\\\\80=16t\\\\t=5[/tex]

Hence, the ball is thrown from the ground, goes up and comes back down and hits the ground 5 seconds later, t = 5

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