Name
FreeFallWorksheet#2
Answerthe followingquestionsusingthe GUESS
method.Youmust showall steps.
1. A balloonist
dropshiscamerafrom a heightof 145m whilehisballoonis descending
at a rateof
5 .0 m/s.Whatvelocitywill the cameraimpactthe ground?Howlongwill it taketo reachthe
Vf- =uL2t ) oA
^) Vg = Vi t at
".)
*6)14,r-rcr)trE^) . -s'l*tl* -t.oon^lj| (-lf^pr)[p)
t{t 6.o*ts\)
ground?
d= 115"n
li . I "*"
t =l
+[an\
v4l=t)s*1s
{*'8---c't'^1s}
$\
v6)=-atut'^15 /j*-S1^/g
S.or.c=t
2. Findthe velocityof a ballthat isthrown downwardfrom a tall buildingat 9.5 m/s afterfree
fallingfor 3.25s. Howfar will the ballhavetraveled?
V€=l
V;
r q'("^'lS
a'
Q.?*lll
t-
3.)Si
4 vf=V;taf
v{ = [t.s*4) + $'?^rs)(lx.)
vt(v"t'te)t
b\ AA=
A a : ('5)tq.s't-'rr*i s)(3 )5s)
Vf = -\\ r"13
Ad "-8) nn
3. A baseballis droppedfrom the top of Progressive.Field.
Howfar doesthe balltravelif it is in free fall for
= L.s) Gq.t^1,r11r'ss))
. - --)1
\-, Un
/(-r)to
r ^ ^)\
O; =
7.5secondst
a=l
--r'sec
1
a
A)
-' Q't*lc?
Ad'Uif +'fo\)
4. A helicopteris hoveringabovea tiny villagein needof a rescuepack.Thepackis releasedand hitsthe
groundwith a velocityof 73.5m/s. Howfar did the packfall?
-V€t V;l t lad
{f = )t.s r,\ll
\
(rr-s^1,\t'tr)tq:tq,')(a)
4=?
a= I.Y' lrt
fi6).ls.ri'\1.\, -k) La)
-D-lt, rvt = A
JL'oH1g>
5. A backpackis droppeddownto your friendat a rateof 2.50m/s. lf the backpacktraveled14 m,
how fastwasit movingwhenyourfriendcaughtit?
rl{t= u;} + laA
t); = ) (o'.^19
V{ =-11^1,
)Lq,t!rr)tr")
t
1
1
A'
rl4r= @'so$r!)
'j4t= tb')s-is r(+)rq.'l;
,l( =J
q =l.G*l(?
v{} = lto' t.,5
6. A cameraisaccidentally
droppedfromthe edgeof a balcony.
6.0seclaterit hitsthe ground.
Howhighisthe balcony?
- L'<\6.t^,,r;1u'or,Ar
AA
=
{ b'0 {ec
6J='\)L.". lrrc*\
?,
d=
rJ;=o
,.. e.k^fs)
nA * U;{ t
Yro\}
7. A bagis droppedfrom a scaffold.What is the bagisvelocityafter 2.0s? Howfar hasthe bag
faflen?
t= ).oroc
uf.?
e:rl.?,.1cl
at, l
aa= Di+ 1 rlotl
AJ= C.5\h.r*1,r;(a.o*"\?
t
'l
/f = v; t At
Jf = g.rqrr)la.os.c)
'
ad=-\l.t, q
.
/(ao
r r ' x1r\
,\
V4'-\t'u ^13
(ao.*)
A water balloonis droppedfrom an apartmentbuildingroof that is 140.0m high.Determine
how longit takesto reachthe ground.Determinehow far lt hastraveledeachsecondit is in
free fall. Determinelts velocityeachsecondit is in free falt. Graphthe balloon's(d vs.t), (v vs.t)
and (a vs.t) for eachsecondit is in free fall.
AA*('s)tq.r^*)(ttl
--V;+
O
+
= l u t o.oH
h"+2
Aa
J
*-i.1
t =l
- I\rl.o",r= t.5) Ll.?,'.1,)tl
- \\0,0"^'Q .l ) tl
uri=o
'l€'l
--tr
ar,s1r\
O $= ts.r*{')tr)
@* {Q.rds)1rr)
='lttarrrfi
utt
O
^
(])r
M= [.r)b,t*13])
A *-\1.Lrn
tl)l
Ad = (.s)(.r.r*1sr)
4.-r.ly,l.n
ad = C.$(q,c',.6r)(rle
S,iSrru=t
"t--5.F"19
d
O of=tq.r,/lry$
J
=.ll.o*ls
---l?.r{ rn
(sJe
Ad= t.s)1a.r43r)
O'f {s.r*rl)O)
c'l)l.S r,r
,rT=-l.ir^ls
@4'tl'r*$g''r)
=lfii
ntl
Dvs.T
f
\,
J
J
a
)
3
tl
5
T'*e Cq)
Vvs.T
q C^,rt)