Physics Project
Name
Class
:- RAHUL :- Xll - A
Roll No. :-
This is to certify that the project entitled "FACTORS AFFECTING THE RANGE OF PROJECTILE"
submitted by Rahul of class 1th ! A in partial fulfillment fulfillment for the project in PHSICS# at Pra$hu %ayal Pu$lic school# is an authentic !or" carried out by him under my super#ision and $uidance.
&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& 'rs& Sa()ee* +aur
%&i$nature'
Ta"en this opportunity to e(press my respect and $ratitude to my esteemed $uide #aluable $uidance 'rs& Sa()ee* +aur for her #aluable in ma"in$ this project a reality. ) am than"ful to her for her constant support and encoura$ement and #aluable super#ision* $uidance and encoura$ement encoura$ement throu$hout ths project completion period.
+bjecti#e Apparatus Theory ,rocedure +bser#ations ,recautions Conclusion Result
O$jecti,e TO STUDY STUDY THE FACTORS AFFECTIN AFFECTING G RANGE AND AND HEIGHT HEIGHT OF PROJECTILE.
Apparatus
Require
• • • •
All ,ins ,rojectile &tand ,rotractor cm lon$ scale
• -hat is a *rojectile. – A body in free fall that is subject only to the forces of $ra#ity and air resistance. – /otion of bodies flun$ into the air. – +ccurs in many acti#ities* such as baseball* di#in$* fi$ure s"atin$* bas"etball* $olf* and #olleyball. – A special case of linear "inematics.
Factors Factors Affecting The Range Of Projectile
a/ An$le a/ An$le of projection $/ ,rojection $/ ,rojection #elocity c/ Relati#e c/ Relati#e Hei$ht of ,rojection
0actors )nfluencin$ ,rojectile Trajectory • Trajectory shape dependent on an$le of projection in absence of air resistance. • )f an$le perfectly #ertical* trajectory also #ertical. • )f an$le obli1ue* trajectory is parabolic. • )f an$le hori2ontal* trajectory is half parabola.
t5 h g i e h 4 m u m i 3 x ) a m M (
2
0 1 6
1 2 3 4 5 Range (distance) 7 8 9 10 11 (m)
0
This scaled dia$ram sho!s the si2e and shape of trajectories for an object projected at m3s at different an$les.
)f purpose to ma(imi2e ran$e* optimum an$le of landin$ is al!ays 456.
)f purpose to ma(imi2e ran$e 7 projection hei$ht is 2ero* the optimum an$le of projection %and landin$' is 458. )f purpose to ma(imi2e ran$e 7 projection hei$ht is abo#e landin$ %9'* optimum an$le of projection less than 458.
FACTORS INFLUENCING PROJECTILE MOTION (Neglecting Air Resistance) Variale !nitia "e#tica "e$cit% Fight time Fact!rs !" In"l#ence Reati"e &#$'ecti$n height $#i$nta "e$cit% $#i$nta dis&acement !nitia "e#tica "e$cit% *e#tica dis&acement Reati"e &#$'ecti$n height !nitia "e#tica +#a'ect$#% !nitia s&eed ,#$'ecti$n "e$cit%ange Reati"e &#$'ecti$n height
I(itial le(0th o Ru$$er 2a()3!
Le(0th o stretche) ru$$er $a()3!
Hei0ht o Projectile Sta()3!
Observation Observation Table
Ra(0e 4ariatio( or A(0le % ' An$le % '
Ran$e %in cm'
Ra(0e 4ariatio( or A(0le %:! %:! ' An$le %:! %:! '
Ran$e in %cm'
Appro( ;rror
As per e(perimental error the an$ an$le of proj projec ecti tion on % ' an and %:! %:! ' of rubber are found to be appro(imately same.
Pre!auti"#s Ta"e the recordin$s recordin$s carefully carefully !ith calculatin$ errors.
Rubber band len$th should be noted both initial and stretched.
Handle the all pins carefully.
Summary
•
isplacement is the chan$e in position of a body. • A#era$e #elocity is the chan$e in position di#ided by the chan$e in time. • A#era$e acceleration is the chan$e in #elocity di#ided by the chan$e in time. • The resultant and an$le of a #ector #ariable #ariable can be calculated from its hori2ontal and #ertical components usin$ ,ytha$orean Theorem and tri$onometry. • The hori2ontal and #ertical components of a #ector #ariable can be calculated from its resultant and an$le usin$ tri$onometry.
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