# motion in a straight line - review ```No
1 Symbol
Column 1
Displacement
vector
Column 2
Velocity vector
Column 3
Acceleration vector
x,y or r
v
a
2
Formula
Δx=xf – xo
v=Δx/Δt
a=Δv/Δt
3
Instantaneous
formula
(instant
means at a
specific time)
At a specific time,
the position of the
object gives the
instantaneous
position
v=dx/dt
(differentiation
method)
a=dv/dt
(differentiation
method)
4
Maximum
To find maximum or
and minimum
minimum
values
displacement,
To find maximum or
minimum velocity,
--(i)find a(t) from v(t).
(i) find v(t) from
x(t).
(ii) then put v(t)=0
and find time ‘t’.
(iii) then put this
time ‘t’ in the x(t).
(iv) that is the
maximum or
minimum
displacement.
(ii) then put a(t)=0
and find time ‘t’.
(iii) then put this time
‘t’ in the v(t).
(iv) that is the
maximum or
minimum velocity.
Note :
1. If there is a function equation in terms
of time, you need to do either
differentiation or integration
2. If you go from left to right (
Then do differentiation.
3. If you go from right to left (
Then do integration.
4. Simplest equation for differentiation is
(not like step1 and step2 method in alef)
The simplest equation for integration is (not
like step1 and step2 in alef is : )
```