I am on a planet whose acceleration due to gravity is g=6 ft/s2. I'm standing on a cliff edge with altitude of a=80 ft above the ground and i throw an object straight up at a velocity of v=20 ft/s. The equation y=-1/2gt2+vt+a gives the height y of the object t seconds after i thow it. The graph of height versus time will be a parabola. -Find the exact vertex of the parabola. (Give both coordinates as rational number.) What does the vertex represent in the context of this problem? -Find the exact time in seconds when the object will land on the ground, then approximate it to four decimal places.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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I am on a planet whose acceleration due to gravity is g=6 ft/s2. I'm standing on a cliff edge with altitude of a=80 ft above the ground and i throw an object straight up at a velocity of v=20 ft/s. The equation y=-1/2gt2+vt+a gives the height y of the object t seconds after i thow it. The graph of height versus time will be a parabola.

-Find the exact vertex of the parabola. (Give both coordinates as rational number.) What does the vertex represent in the context of this problem?

-Find the exact time in seconds when the object will land on the ground, then approximate it to four decimal places.

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