quadratic models with vertex or standard form

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Question description

Suppose I shot a rocket into the sky from a completely flat field and I was able to measure that the rocket reached a maximum height of 144 ft after 3 seconds. At the time of blast-off (time 0) the rocket was 0 feet high because it was on the ground.

1. given these two pieces of info find the formula for the height of the rocket at any time t. Note path of rocket is a parabola.  Is this standard form or should it be vertex form?

2. When does the model breakdown or no longer apply?

Tutor Answer

(Top Tutor) Daniel C.
School: Rice University
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