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31-05-2017
Mathematics

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A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second.

A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second class=

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31-05-2017

[tex]h=-16t^2+56t+1[/tex]

The ball will hit the ground when [tex]h=0[/tex]:
[tex]-16t^2+56t+1=0[/tex]
[tex]D=b^2-4ac=56^2-4*(-16)*1=3136+64=3200[/tex]
[tex]t=\frac{-b-\sqrt{D}}{2a}=\frac{-56-\sqrt{3200}}{-32}=\frac{-56-56.57}{-32}\approx 3.5[/tex]

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