Atoy rocket is launched from the top of a building 94 feet tall at an initial velocity of 242 feet per second. a) give the function that describes the height of the rocket in terms of time t. b) determine the time at which the rocket reaches its maximum height, and the maximum height in feet. c) for what time interval will the rocket be more than 419 feet above ground level? d) after how many seconds will it hit the ground?

Assuming a parabolic movement we have to,

Gravity is equivalent to 32.2ft / s ^ 2

So,

a)

b) h_max would be the vertex of the parabola

**Here a=g/2

c)

Solve for t using quadratic formula:

1.49 s <= t <= 13.54 s

d) Solve for t:

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option number c is the right answer.