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I am stuck in Austin with a flat tire, and I need to get to...

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Basic Math

I am stuck in Austin with a flat tire, and I need to get to myclass in Houston within 2 hours. The drive is 180 miles long, but Iwant to be careful of the Austin cops. I do not usually get caughtspeeding unless I am seen accelerating too fast, so I do not wantto accelerate at a rate of more than 120 mi?/?h2. Justto be careful, I?m going to take exactly 2 hours to make the trip.Assuming I accelerate at 120 mi?/?h2 for a while, andtravel at a constant speed afterwards, what’s the fastest speedI?ll be going during my trip?

Answer & Explanation Solved by verified expert
4.1 Ratings (712 Votes)
Since I am starting from Austin it would mean that initial speed would be 0 The acceleration is 120 milesh2 Now assuming that I accelerate for t hrs and then travel up to Houston at a constant speed the distance travelled and time taken to cover both parts of journey can be calculated as follows In    See Answer
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