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on April 2, 2020
EQUATIONS OF MOTION
Read other topics in High School Physics
LET u= initial velocity
v = final velocity
s = distance
a= acceleration
t = time
when a car or a body is at rest, u=0
from the defination of Average velocity
Average velocity =total distance cover/total time taken
(u+v)/2 =s/t
therefore,
................ First Equation
When a body start from intial velocity u and accelerates uniformly along a straight line with acceleration a , then cover distance s in time t, when its velocity reaches a final value v. then
ALSO
Acceleration a = rate of change of velocity/time
or a = change in velocity/time = (v-u)/t
therefore
v-u=at
............. Second Equation
When a body start from intial velocity u and accelerates uniformly along a straight line with acceleration a , then cover distance s in time t, when its velocity reaches a final value v.
then
v = u + at
Combine first and second equations, then eliminate t
s=(v+u)t/2 therefore t=2s/(u+v)
Also, v=u+at, therefore t= (v-u)/a
then 2s/(u+v) =(v-u)/a
(v+u)(v-u)=2as
.................. Third Equation
Also Eliminate v from first and second equation
we have
from first equation s=(v+u)t/2 therefore v=(2s/t)-u
from second equation v=u +at
therefore, (2s/t)-u =u+at
2s/t=2u + at
Therefore,
...............Fourth Equation
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equations of motion
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