Unit2:Kinematicsin2D

4-ProjectileMotionTypes1and2

Rememberthatthexandy-componentsare_______________andthereforetotally_______________.

X-components

Thereisno________________workingonthe

projectileintheXandtheaccelerationisalways

_____________.Thereforetheonlyequationwecan

everuseis:

Theonlyvaluethatcaneverbeusedonbothsidesis____________becauseitisa______________.

Y-components

Inthiscasethereisalwaysaconstantaccelerationof

_______________________.Becauseofthiswe

needtousethe_______________________.

ProblemType1:

Astudentsitsontheroofoftheirhousewhichis12mhigh.Shecanlaunchwater-balloonsfromaslingshotat14.0

m/s.Ifshefiresawater-balloondirectlyhorizontally:

a.Howlongwillitbeairborne?

Thisdependson:

b.Howfarforwardwillittravel?

Thisdependson:

ProblemType2:TheDukesofHazzardaretravelingat85km/hwhentheyhitajumpthatmakesanangleof25o

abovethehorizontal.

a.Howlongaretheyairborne?

b.Howfarforwarddotheyflythroughtheair?

c.Whatistheirmaximumheight?

Example:ACutlassSupremedrivesstraightoutofaparkinggarageat8.0m/sandhitsthewater3.4slater.

a.Howfardidthecarfall?

b.Whatwashistotalimpactvelocity?(magnitudeanddirection)

Example:Aquarterbacklaunchesaballtohiswidereceiverbythrowingitat12.0m/sat35oabovehorizontal.

a.Howfardownfieldisthereceiver?

b.Howhighdoestheballgo?

c.Atwhatotheranglecouldthequarterbackhavethrowntheballandreachedthesamedisplacement?

ProblemType3:

Ex:Acannonisperchedona48mhighcliff.Itaims30oabovethehorizontalandfiresashellat52m/s.Find:

a)Howlongittakesforthesheeltohittheground.

b)Thedistanceitlandsfromthebaseofthecliff.

Ex:ABMXerleavesaramptravelingat65km/hatatrajectoryof40

oabovethehorizontal.Afterreachinghismaxheight

hestrikesthetopofabuilding5.8mabovetheground.

a)Whatisthehorizontaldistancefromtheramptothebuilding?

b)Whatishisspeedwhenhehitsthebuilding?