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A model rocket is launched with an initial upward velocity of 140 ft/s . The rocket's height h (in feet) after t seconds is given by the following.
[tex]h=140t-16t^2}[/tex]
Find all values of t for which the rocket's height is 68 feet.

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Luv2Teach

Answer:

Step-by-step explanation:

If you're looking for the times, t, when the height, h, is 68, then sub in 68 for h and factor the resulting quadratic.

[tex]68=-16t^2+140t[/tex] and, getting everything on one side and setting the quadratic equal to 0:

[tex]-16t^2+140t-68=0[/tex]

Plug this into the quadratic formula and solve for t.

t = .516 sec and

t = 8.234 sec

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