ACCELERATION

 Acceleration is define as  the change of velocity with time

it unit is meter per second - per second (ms -2)

Acceleration (a)= VELOCITY CHANGE/TIME TAKEN FOR THE CHANGE

    Acceleration(a)= FINAL VELOCITY -INITIAL VELOCITY/TIME 

i.e

a=v-u/t    OR

v=u+a*t (v= u+at)     

EXAMPLE             

A car move from a velocity of 20ms-1 to a velocity of 30ms-1 in 5 second, its average acceleration is given  by 

a=30-20/5

a=2ms-2

UNIFORMLY ACCELERATION MOTION

 Uniform acceleration is defined as the motion of an object whose velocity increase by equal amounts in equal interval of time 

FIRST EQUAL OF MOTION

Let the initial velocity of a body moving in a straight in line be V, its acceleration be A, and the final velocity be V, let the time be motion be T

a = change in velocity/time interval 

a = v-u/t

i.e  at = v-u  OR 

V = u+at

SECOND EQUATION OF MOTION

Let S be the distance covered in a time T, with the initial and final velocity given by U and V respectively 

Average velocity V =U+V/2

  from equation 2.1 V=U+at, hence

V=U+V+at/2 = U+ 1/2at

Distance (s) covered = average velocity * time

S(U+1/2 at)t

=ut+1/2 at2

s= ut + 1/2 at2

THIRD EQUATION OF MOTION

We can obtain the third equation of motion with the use of equation 1 and 2 . from equation 1 we have 

V=U+at

from equation 2 we have 

S=UT+1/2 at2

if we square both side of equation 

1 we have 

V2=u2 + 2uat + a2t2

     =u2 + 2a(ut + 1/2 at2)

     =u2 + 2as

hence

     v2=u2 + 2as

THE THREE EQUATION ARE

1.V = U + at

2.S = ut + 1/2 at2

3.V2=u2 + 2as

                                           U = initial velocity

                                            V = final velocity 

                                             t = time

                                              s = distance

                                              a = uniform acceleration