Velocity Answers Name
Speed md velocrty do not ha!e the sme meaning to scientists. Spee,l ts a sutltr tluun /irf. wfilcll mcans it can be completely described
byitsmagnitude(orsize)'Ih€lnagnitudeisgiuenbyanunrberandaunit Forcxample.anoblecr'sspeedmaybemeasuredasl5
meteLs pet second
Velocity is a rcclor r/uqt1li\ ln arder lo measure a lecior quantity, you must know the both its rnagnitude and tiirection. I he velocity
ofe object is detetrnined by nrasuring both the speed and ditec'li(r? in which an object is traveling.
. tfthe speed ofm object chuges, thcn its relocity also chmges.
. tfthe direction in rthich m object is lraaelin!! changes, thcn its velocity changes
r A chmete in either speed, direction, or both causes a oharge in relocity
You can use r r/ I to solte velocity problems in the same moner that you changed the fo.m ofthe equation to solve speed problems
in I'art A. The boldfaced v is rned to represant \elocity as a vector quantity. l he la'iables d and t re ured for distuce ad time. The
velocitJ- ofen object ir motion is equal to the dirtanc€ it tr&vels per unit oltine in e givetr dircction.
Iixample l: What is the velocity of a car that travels 100.0 meters. northeast it) 4.65 seconds?
Exnmple 2: A boat travels witb a velocity equal to I 4.0 meters per second, east in 5. I 5 seconds, What distance
in meters does the boat travel?
1. An airplane llies 525 kilorneters north in 1.25 hours. what is lhe airplane's vetocit-v?
i.ooLrngror --- I sorution --
l_\"f!uqitf . S25 Knr \()R t rr/ t.ZS h
Given rl=525 Krn \OR l'll: t = 1,25 h I * 42t) Klt/h NOIII H
r-L
Reratioushif ;;; ait -- -
r,__-..-,-_.-____:-.,-- I
2. Asoccerplayerkicksaball 6.5meters. I{owmuchtinreisneededtbrtheballtotravel ihisclistanceif i
velocity is 22 meters per second, south I 0.305
3. A cruise ship travels east across a river at 19.0 meters per minute. lfthe river is 4,250 tneters lvide, hoiv
Iong does it take for the ship to reach rhe other side? 223.68 m in
4 Joaquin mows the lawn at his grandmother's home duriog the summer months. Joaquin measured the
distance across his grandmother's lawn as I 1..5 meters
a lf.Ioaquinmolvsonelengthacrosslhelawnt'romeasttowestinT.l0seconds,thenwhatislhevelocitv
7.
of the lawnrnorver? 1.62 m/s WEST
b. Once he reaches the edge ofthe lawn, Joaquin turns the larvnmower around. [{e morvs in the opposite
direction but maintains the same speed. what is the velocity of the lawnmower'.) I .62 m/s EAST
A family drives 88 1 miles from floustoo. T ex&s to Santa Fe. Nerv Mexico for vacation. How Iong will it
take lhe farnily to reach their destiuation ifthey travel at a velocit-v of55.0 miles per hour, northwesl?
16.02 h
A shopping cart is pushed I 5.6 meters west across a parking lo1 in 5.2 seconds. What is the velocilv ofthe
shopping cart? 3 m/s WEST
Katie and her best friend l,iam play tennis every Saturday nrorning. When Katie serves the ball to Lialn, it
travels 9.5 lneters south in 2. I seconds.
a. What is the vetocity of rhe tennis balt? 4.52rn/s SOUTH
b. lfthe tennls ball travels at constant speed, what is its velocity when l.iam retums Katie's serve? 4.S2ru/s
]\OR"TH
A driver realizes lhat she is traveling in the wrong direction on a one-rvay street. She has already driven 3.5
meters at a velocity of I 6 meters per second. east before deoiding to make a lJ-turn. How long did it take fbr
the driver to realize her error? 0.22 S
'luan's ntother drives I 2.5 miles southwest 10 her favorite shopping mall. What is the velocity ol her
automobile if she anives at lhe mall in 7.25 minutes? 1.72 mil rnin SW
l0Abusistravelingat79.7kilonrelersperhoureast,howt'ardoesthebustravel L4.5hours? I15.57Km
1 l. A girl scout troop hiked 5.8 kilometers southeast in l.-i hours. What ivas the troop's velocity'l J,87Km/h SIi
I 2. A volcanologisl noted that a lahar rushed dorvn a mountain at 32.2 kilometers per hour, south. IIow far did
the mud l]ow in 17.5 minutes? 9.39 Km
I
I
ts
l,ooking for
Distance the boat travels
Given
Velocity .= 14.0 meters per second. east
'I'ime '. 5. l5 seconds
distance = vx!
Rclationshlp
Solution
distrmci = v x,
'l'he boat travels 72. I meters.
- 14!m x5.15s=?31m
