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k M University of Maryland Ea- e Chapterx201gs20studyx... e Take Test Exam 2-216

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Question

k M University of Maryland Ea- e Chapterx201gs20studyx... e Take Test Exam 2-216 el wary Register or buy Co... Return to Blackboard Cutnell, Physics, 10e Help I Sntem Announcements Chapter 02, Problem 35 an historical movie, two kights on horseback start from rest 90.8 m apart and ride directly toward each other to do battle. Sir George's acceleration has a magnitude of 0.389 m/s, while Sir Alfred's has a magnitude of 0.204 m/s Relative to sir George's starting point, where do the knights colide? the tolerance as +/-2% Click vou would like to show work for this question: Open Show Work By accessing this question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor, Question Attempts: o of 3 used ingit zooo 201 lohn wery sons, inc. or related companies Alinghts reserve a.

Explanation / Answer

As we know that we have
x(t)=x0+v0 t + 1/2 at^2

x(t)=position as a function of time
x0=initial position
v0=initial speed (which here is zero for both horses)
a=acceleration
t=time

for George, we have:

x(t)=0+0+1/2 (0.389)t^2

for Arthur, we have:

x(t)=90.8+0-1/2(0.204)t^2 (accel is negative since it is in the opposite direction of George's

they meet when the have the same value of x:

0.1945t^2=90.8-0.102t^2

0.2965t^2=90.8 or t=17.49969887 s

plug this into the george equation to get:

x(t=17.4996s)=0.1945(17.4996)^2=59.56357504 m