A) No one knows where Allentown is (unless you enjoy Billy Joel). Thus I usually

Question

A) No one knows where Allentown is (unless you enjoy Billy Joel). Thus I usually use Philadelphia as my reference point to help people get a feeling for where I used to live. Use Philadelphia as the origin of your coordinate system. Draw the position vectors to each of the locations (Allentown, Lancaster, Williamsport, and Wilkes-Barre). Be sure to clearly label them, (e.g. the position vector pointing to Allentown could be called vector r0)

b) Draw the displacement vector between each leg of the flight (e.g. Allentown to Lancaster, Lancaster to Williamsport, Williamsport to Wilkes-Barre, and Wilkes-Barres to Allentown). There will be 4 in total. Be sure to clearly label them so that your labeling convention is consistent with the position vectors you have already defined.

c) The flight took me a total of 3.2 hours. What was my average velocity for the trip? Also, what was my average speed? The conversion factor for the chart is: 1.69 cm = 1.0 miles. Be sure to show your work for this part.

d) Now consider the scenario where a friend of mine wants to travel the same exact flight path, but has a faster plane and wants to arrive back at Allentown at the same time I get back. If his plane is able to fly at an average speed of 100 mph, how long should he wait at Allentown after I initially leave?

e) As we are both in the air, how does the distance along the flight path between us decrease as a function of time:

i. It does not decrease.

ii. It decreases linearly.

iii. It decreases quadratically.

(Hint: Make a nice big scaled graph to help answer this). (also assume that each plane flies at a constat speed equal to the avarage speeds from c and d)

f) Enhancement. (Think vectors; position, displacement, average velocity. Also graphs).

please help me with my last question in my worksheet. this part got me going insane

(1) grew up in Allentown Pennsylvania, and while taking flying lessons l was required to do a "cross- country" flight. I planned out my flight as follows eft Allentown and flew directly to Lancaster, then directly to Williamsport, then Directly to Wilkes-Barre, and then finally directly back to Allentown Lands Eagles Mere Scranton Number 57 State Game Lands Number 13 Wilkes-Barre 19 Mountain Top Mt Pocono Delaware 15 Water Gap National Recreation... Stroudsburg Danville Lewisburg Hazleton Mifflinburg Jim Thorpe Sunbury Danielsville Shamokin St Clair Pottsville Haven entown ED Elizabethville State Game Lands No 211 Quakertown Perkasie Lebanon Reading Doylestown Harrisburg Pottsto amp Hill 422 Lititz Elizabethtown 32 King of New Holland Prussia 20 Lancaster Intercourse York West Chester Philadelphia New Oxford Chester Google Hanover Map d

Explanation / Answer

If you have answers from a) to e), then it is good, since these questions are rational and understandable.

You looked for the last question I.e. f)

So, for the question f) here it is written "Enhancement" only. It doesn't mean anything as a question. I think this one may be ignored, since it is incomplete.

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