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Exam 1 Solutions

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Unid:<br />

------------------------------- <strong>Exam</strong> 1<br />

Discussion T A:<br />

------------------------- 1<br />

A. [6pts.} The drawing shows a triple jump on a checkerboard, starting at the center of <br />

square A and ending on the center of square B. Each side ofa square measures 4.9 cm. <br />

What is the magnitude ofthe displacement ofthe colored checker during the triple <br />

jump? <br />

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Physics 2010 Summer 2013 Richard Ingebretsen<br />

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---------------<br />

Vnid: _______________<br />

Discussion T A:<br />

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---~--~------------- 2<br />

<strong>Exam</strong> 1<br />

A. [8 pIS'] A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 4.0 mis.<br />

The car is initially a distance d away. The bear is 20 m behind the tourist and running at 6.0 m/s. The tourist<br />

reaches the car safely. What is the maximum possible value for d?<br />

B. A swimmer moves according to the velocity vs. time graph to the right. 2.0<br />

1. [8 pIS'] Find the dis lac t magnitude and direction) of<br />

the swimmer for each segment fthe trip (A,B,C,D) in mis.<br />

(Four answers are expected) A.-." _ ,.__f ' 0<br />

Ve.<br />

Vr<br />

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1.5<br />

I 1.0<br />

0,5<br />

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•<br />

"r ~ vr~c.r f4c CV/~ '8<br />

time (s)<br />

120140160180<br />

1! -0,5<br />

-1.0<br />

-1.5<br />

-2.0<br />

A<br />

C<br />

D<br />

B -::. ,0 IV! C:: -hOM<br />

2. [3 pts.] What is the total distance traveled?<br />

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$tl I- Co r- /-00 / 1-40 ::. ''10 M I 80 f- 13 '13 I- 3 '13 ~ 60 f-ltO ::.: 170,{. ...<br />

3. [2 pts.] What is the magnitude ofthe average velolity for the entire trip?<br />

f{.(l ,..'0 -btJ t-JtO 7/<br />

~ '=. I?r"::' O,3~lJ H(S<br />

4. [2 pIs'] What is the average speed for the entire trip?<br />

I'tofl{5;f"> ~ I 00 M ~ t~:::. 1.0 G<br />

totG- tEl


Ph~sics 20lH Summer 2013 Richard Ingebrctsen<br />

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t ::: t (v~-S) 'Iv 2 "0'" -120"1/ .~<br />

w -II...,) '1 ~ I //<br />

c. [10 pts.} A pellet n is fired straight downward from the edge of a cliff that is 15 m above the ground. The<br />

pellet strikes the ground with a speed of24 mls. How far above the cliff edge would the pellet have gone had the<br />

gun been fired straight upward?<br />

y.~ ~/r.."<br />

Jow~.Yt-<br />

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Physics 20 I 0 Summer 2013 Richard Ingebretsen<br />

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"lame:<br />

nid:<br />

<strong>Exam</strong><br />

4<br />

1<br />

Di scussion TA: ICt;tfoVl<br />

1:+ ,<br />

, t<br />

A. A rollerblader follows the path to the right. In section A he skates at a constant , " c<br />

~2:<br />

speed of 2.0 mls for 30 mi n. In section B he skates at a constant speed of 3.0 mls stat<br />

,<br />

A, , -l(,oO--s C<br />

for 15 min. In section C he skates at a constant speed of 2.0 m/s and travels fo r<br />

6.0 km. He then decides he wants t go back to his car which is located where he<br />

: -1'/vZ.1 ... h)<br />

started and skates directly toward it at a constant speed of 2.5 m/s.<br />

A<br />

)70<br />

B.. ;:2.100 ""<br />

r<br />

I. [ 7 piS.} What is the displacement of the skater from the start to the end of 1tl~ =0..,<br />

seclion (rnagnitude and direction)? ~<br />

AK ~ - ~"O() ' ;"(ll)B<br />

c~ .1-100'.J[8l»<br />

ill )c.:. V ,,~ ==3 cl = vi: ~ (LO -I...".) ( >dO ~... ) " -Io'z.'"_ -:: lo~l . 'I ...<br />

!Il $'1711 ,,~ do ~ vi:... = ( J.D ~I..t:) (I). ~) -= 270{) "1 (,. 0 Ic~ '" ("roo ........<br />

2. [2 pis.] How far does the student travel from the end of section C until he is back to where he stalted?<br />

S'Q~ 4~ 1M'rJ'" /-...de of- P, ~D 13, b'i'il:-l<br />

!2pls.] What is the total distance traveled by the student (including the last skale at 2.5 m/s)?<br />

_<br />

'-/.. .~o" bo~<br />

tt-L "-"""5<br />

Tohl\ .!.'JI--.vu. " 1M.~f...hJ 0"'('" / 50 A +jl, -t C+D -=- %00 + 2700 + ("a)o +3",/~ ~l'----I--~---,~J<br />

~, q'{<br />

Goti>-. ~ v J<br />

(.0...., r~ 4. [2 piS.} What is the average speed for the entire trip (from stalt to return to car)?<br />

" "'" ~ _ " h>\-.... e.<br />

f ~~. 'j-'j' =-0 -,0=->0...- 'j-~o"-301N\<br />

v '1' ~o ~"7 -30 = -1..... J<br />

(1) ~ v, = 0 -I«c<br />

1<br />

~<br />

'~ '1 ~ II • ." 0 ~ len 7 <br />

V '" <br />

v '" ? <br />

« ~ -1'(; ~/S&

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