** **__MOTION IN ONE DIMENSION__

**Equations of motion **

These equations describe relation between initial velocity (u),
final velocity (v), displacement(s), time (t) and acceleration (a), for
uniformly accelerated motion.

**First equation**

** **v
= u+at

**Second equation**

s= ut+_{} at^{2}

**Third equation**

v ^{2}- u^{2 }=2as

**Distance traveled in nth second**** **(S_{n})
is the distance traveled in one second between t = n and t = n-1 seconds

S_{n}=u + _{} (2n-1)

** **__PROJECTILE MOTION__

**For a body projected with initial velocity ‘u’
at an angle ‘**_{}**’ with the horizontal **

**
**

**Equation of trajectory:**** **y=
_{}

**Time of flight** = _{}

**Maximum height**
= _{}

**Range** =
_{}

**Horizontal component velocity at time‘t’**
= v_{x}= _{}

**Vertical component velocity at time‘t’**
= v_{y}=_{}

**Velocity at time‘t’** = _{}= _{
}

**Angle made by velocity with horizontal**** **=
_{}=tan^{-1} _{}= tan^{-1} _{}

**Position at time‘t’:** x = (u cos_{}) t, y = (u sin_{}) t -_{}g t^{2}

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