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?