Hi dear,
May be i can help u with this...with reasoning...
First of ll u should know about Vectors.
Vectors are Those quantities which show their effect in a direction...ok
now our purpose is to find position of particlee at various intervals
now,we should know two equations for purpose of calculation...
These are-
1.[in case velocity (value as well as direction) is not changing]
X= x(at starting) + v.t
remember,X =final position, x= initial position and v=velocity
this equation cannot be applied until we get a velocity having fixed direction and fixed value
2.[for constant acceleration (in direction as well as value)]
X= x + ut + 1/2 a t²
this equation also can't be applied in circular motion
Now,for calculation of position,we use above two equations or the equation for position as given in question (or as studied in our textbooks...for example - for circular motion,we know the equation for position already)
NOW WE NEED TO KNOW JUST ONE MORE THING- COMPONENTS OF VECTOR
-As we know vector have their effect in one direction,this effect can be observed in parts also-for example,an object moving in NORTH-EAST direction goes in NORTH as well as EAST
The components of a vector are equal to
v.cosӨ and v.sinӨ in a plane
so we can find position in PARTS and ADD them together to find total value..
now in projectile,
Gravity acts downwards (vertically),so there is NO GRAVITY IN HORIZONTAL DIRECTION.
now,to find positions in projectile,we divide velocity and gravity(gravitational acceleration) in HORIZONTAL and VERTICAL PARTS(or components)
we get,
IN HORIZONTAL...
VELOCITY=V.COSӨ
GRAVITATIONAL ACCELERATION(GRAVITY) = 0 (as told u above)
IN VERTICAL
VELOCITY = V.SINӨ
GRAVITY = g (=9.8)
now we use FOLLOWING EQUATIONS(as told u above) for finding position in HORIZONTAL and VERTICAL parts
1.FOR HORIZONTAL
X= x(at starting) + v.t (Because here velocity is fixed as no acceleration is there)
and we know v=horizontal velocity=V.COSӨ
2.FOR VERTICAL
X= x + ut + 1/2 a t² (Because here acceleration is fixed)
and we know v=vertical velocity=V.SINӨ
NOTE-
(1) u=o if object is not moving in starting (like when object is dropped v.cosӨ and v.sinӨ both are =0 but when object is thrown parallel to ground,only v.cosӨ is =0,v.sinӨ is not equal to 0)
(2) v= 0 if object stops at end (like when object reaches to its highest position,v.sinӨ is =0 but v.cosӨ is not equal to 0)
i hope u will get all these.reply me..bye