IProblems
1.
As it chases a mouse, a cat runs 10 m nolth and then 25 m south. Determine the
a. distance travelled by the cat. [35 rrr]
b. cat's displacement relative to its stating point. [15 m, south]
ci-.
Cl
= lorn + &5
b.4"
I
I
Jr
)
2.
"i
AO
,-'!.-
-= 36
-flor'-r)n
"rE
r-r-r
r-
= tSr^ L.-l
A construction cene lifts a concrete block 9.0 m directly up from the ground and then lowers
it 6.0 m direcdy downwards and stops. Determirie the
a. total distance the block traveled. [15.0 m]
b.
block's displacement relative to the ground. [3.0 m, above the ground]
cL. d= q.Or* +G.or-
= ls.or'-
9
er.-. + (- r,.o,--,) = 3. <--,.- L-,- -.f
t ^cJ
b. +
I_
I
3.
)
The cheetah is the fastest Iand animal. Determine a cheetah's speed
in 10 s. f30 m/sl
\.
\ -- (l' \
can
tavel 300 m
5c)or_-6
lo5
= 30
4.
ifit
y-.y\
ts
Bemie Geoffiion (a.k.a 'Boom Boorn') is given credit for introducing the slapshot to the
NHLin 1950. A good slapshot can travel over 45 m/s. Calculate the time a puck moving
at 45 m/s requircs to travel to the net when shot from a distaflce of 10 m. 10.22 s]
+_ t=
\
\orr_
Is ts
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CopFisht O l€source Development Sedces, Edmo,ton Public Schools 2007.
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Clrrpt
t2-23
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5.
A rifle 6res a bullet tovrards a target 125 m away. Ifthe bullet tavels at a supetsonic speed of
585 m/s, detennine how long the bullet takes to teach the target. [0-214 s]
\6.
9_
S8 3 '-- t:
O,2
\is
{l
1'
The Taipei 101, (in Taipei, Taiwan), became the wotld's tallest building io the fall of 2003. It has
101 floo$ rising to a roof height of448 m and a totrl of 508 m to the top ofits sPjre. Each floot
is 4.30 m in height. It has the world's two fastest elevators tlat can tavel at 16.7 m/s. Calculate
the time required fot an elevator to tise 90 floors at 16.7 m/s without stopping. [23 2 s]
+ ,_,\
''ie' (.i. ac,,-
\r,.
-1
{
I
(
)
r,1lj
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: )3 2'7.
In
(
1947, Chuck Yeager was the first to fly fastet than the speed of sound
!
He piloted a rocket-powered Bell-X1 shown to the dght. Calculate the
distance Yeager would ttavel in 2.00 s ifhe wete travelJ.ing fastet than the
speed ofsound at 370 m/s. [40 m]
1
(
d --
V
\ =
3'1 o r-.15 (: .cos)
1
1
-l'1 D v-n
1
I
{
8.
Blackfoot wartior and eventually a
Chief Ctowfoot vras bom in
respected statesman who helped maintain peace in $,,estern C2nada. Ctowfoot Ctescent,
ainoflg other roads in Ca1gary, is named in his honour. Assuming a car travels fot 24 s along
the Crowfoot Crescent at a speed of40 km/h, detetmine the distance the car travels in units
of km. 10.27 Lml
1830 and was a legendary
c\ v i
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Ch^pie,2
-24
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9.
High speed fighter jets use HUD'S to display information about their aircraft's velocity,
altitude, etc. HUD stands for "head up display." The HUD projects an image onto the
windshield of the aircraft so the pilot does not have to look down at the instruments. Iroking
down at the insttuments could cause accidents because it takes too iong in a high-speed
airplane. Determine the distance an airylane would tiavel ifa pilot flyiflg at 460 m/s looked
down at his instmment panel for 1.10 s. [506 m]
d. Vj .
10.
Llroo,_.r\s
(r ro.)
You have to meet your ftiend in Jaspei, 400 km west of Edmonton. Your friend leaves
30.0 minutes before you and dtives at an avetage speed of 100 km/h. Calculate the
avemge speed you would oeed to drive to arrive at the same time as your friend if you
both stat from the same place. 1114 km/h]
+. q
v
qLi,r.,m
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3 .1- v1"-, s
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4,
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d
11.
r SoG ,..u.
\\q L'.,. ih
a constant velocity as shown in the video. S atch tle video
and use a stopwatch to measure the ume ofhis tun and use it to determine hrs
average speed. The pylons are set 2.0 m apart. [-'3.9 m/s]
A runner runs at
m
v
Run
2.1.1
i... ...... ....... ........ ........ ....
12.
i
Canadian spiinter Donovafl Bailey won the gold medal and set a new wodd tecotd for the
100 m spriflt in the 1996 Adanta Olympics. He ran the 100 m race in a time of 9.84 s.
a. Calculate Bailey's average speed during the race. [10.2 m/s]
Compare Bailey's average speed wtth his top speed. (i.e., was his average speed gteater
than, less than or the same as his top speed?) fAppendir A]
b.
v=
q
+
.
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.i .8 9s
lo. J rots
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Chapter 2
-
25
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13.
Alison tides het bike at a constant velocity for a distance of 4000 m. She dren travels at a greater
speed, at a constant velociry, for 6000 m. CalcuJate Alison's avetage speed for the entire ttip in
m/s ifthe fust part of her trip took 707 s and the second patt tooL 720 s. [.01 m/s]
Ll
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t*
f
F.\
a)
()
ls
ir
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Ryan tides his skateboard at a constaflt velocity for a distance of 40 m to the north for 9.8 s.
He then tavels at a constant velocity for a distance of 60 m to the south for 15.1 s. Calcu.late
his average
speed. [4.0 m/s]
a.
b.
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1O-tsr-i?'o-s
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14.
1)
velocity. [0.80 m/s, south]
I
c. v.d
tl
)q.q
=
L\
(
,O.^ )S
(r
<
(
.- 2 <,r-
Go,-\
q"Bs + lS \s
Or"-', + (-
lJ1-
15.
\oo r--
(o()aY-
9 S;+ t9 t5
v: LO -
b
t
-lurv-i t
=
.t
---
:
I
O.
tu ftls
Z\,q S 5
tsl i,
(
Iishing trip on Lesser Slave I-ake you drive your mototboat ooth at 20.0 km,/h for
30.0 minutes. After realizing that you passed your fishing spot, you tum south and ttavel
at 35 km/h for I0.0 minures. Determine your average.
a. speed for this trip. [24 hm/h]
b. velocity for this uip. [6.3 km/h, North]
On
a
t"9-
c\,
d-_
,
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L=*
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+
2.s.ov-m li-' (o,s
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L
= ]r1 Lr", I h
db\
(r
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= 5 833 \<rn
V-
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(.,
d": v+
t'')
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b,-- \
{l
^ G, 3 Lm/i^ tul l.)
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Cbrpt* 2-26
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16.
A iogger runs 100 m at a constant speed of 5.00 m/s and then, becoming tired, walks 100 m at
constant speed of 1.00 m/s. Determine the jogger's average speed over fie 200 m. [1.67 m/s]
f _d
-,
\
rlx),r
5.
o.r$ ls
ao:
f
-- -q.
17.
l
\.' = d I
\ U() r{-\ + \ oO r!":
\
zo:
I \o ly-r"\lS
oomls
= I oo
s
Speed and velocity are always relative to a teference poirit. Often that reference point js
the gtound. Jessica is riding on a bus travelling at 30 km/h. Under the conditions listed
below, detetmine her speed relative to the bus aod ielative to the ground ifher w^lkiflg
speed is 5.0 km/h. Complete the chan. [Appendix A]
Situation
Speed relative to
glound
Speed relative to bus
(k-/h)
a. sitting down
b. walking to the front
c. walking to *re back
18.
(kn/h)
]uto )"1o
Sttsl 3s
o
lo r)=ab
J
C:
,)
Sketch the gaph shape of a displacement vs. time graph for an object in
uriform motion
[APPendix A]
moving in a
positive dircction.
b. negative direction
L,/
N
l,/
19.
The position-time graph below teptesents the motion ofa petson out for some exercise. At
va-tious times he is walking, running or stationaty. Identify the labelled section(s) of the gtaph
drat best indicates
a. stationary. [3 . E
b. walking. D,A,
c. runniflg. C
[Appendlx A]
A
Time
Copyright O Resource DeveLopment Seric$, Edmonton Public Schools 2007.
Ch.pt
tz-27
a