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CBSE Class 11-science Answered

uniform motion along stright line where terms are useuall meaning v=u+at, s=ut+1/2at2, 
Asked by barkharanilicfdk | 24 Jul, 2019, 09:57: PM
answered-by-expert Expert Answer
It is assumed that required answer is derivation of equations of motion.
 
Acceleration is defibed as rate of change of velocity.
 
hence acceleration a = (v-u)/t  ..................(1)
 
where u and v are initial and final velocity respectively and t is time taken to change velocity from u to v.
 
eqn.(1) can be rewritten as,  v = u+at ....................(2)
 
Let us asume te motion is with constant accelerated motion and its acceleration is a
 
Let in time t, the velocity is changed from u to v. Average velocity is (u+v)/2
 
distance S travelled in time t  = [ (u+v)/2 ] t .......................(3)
 
in Eqn.(3), let us substitute for v from eqn.(2), then distance S = [ (u+u+at)/2 ] t   = u t + (1/2) a t2  
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