contestada

A quarter falls off a building that is 144

feet tall. If the equation for height as a

function of time is

h(t) = -16t2 + initial height where t is

time in seconds and h(t) is height in

feet, how many seconds will it take for

the quarter to hit the ground?

Respuesta :

boffeemadrid

Answer:

3 seconds

Step-by-step explanation:

Initial height = 144 feet

t = Time taken

The equation of the height from the ground is

[tex]h(t)=-16t^2+\text{Initial height}[/tex]

The time taken to reach the ground is needed. Here the ground is taken as reference so [tex]h(t)=0[/tex]

[tex]0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}[/tex]

So, time taken by the quarter to reach the ground is 3 seconds.

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