describe three equations of motion numeratory and graphycally
Answers
Answer:
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The three equations of motion are:
1) v= u+at ( velocity time)
2) s= ut+1/2at square ( position time)
3) 2as= v2 - u2
Explanation:
1) Introduction
➡ Let a body is moving with a velocity'u' then it start accelerating uniformly for time't' . It's velocity becomes 'v' after covering a distance s and acceleration is a.
We know that,
acceleration= slope of v-t graph
a= perpendicular/ base
a= BC/ AC
From the graph BC= v- u, AC= t
a= v-u/ t
at= v-u
v= u+ at
2) s= ut + 1/2 at2
Introduction ( same)
We know that,
distance= area under the graph.
S= 1/2 ( sum of parallel sides) ×height
S= 1/2( OA+BD)× OD
From the graph OA= u, BD= v ,and OD= t
S= 1/2( u+ v) × t
From first equation of motion,v= u+at
S= 1/2(u+u+at)t
= 1/2t( 2u+at)
s= 1/2×2ut + 1/2 at2
s= ut+ 1/2 at2
3) 2as= v2-u2
Introduction (same)
We know that, distance= area under the graph.
s= area of OABD
s= 1/2 (sum of parallel sides) ×height
s= 1/2 (OA+BD) ×OD
From the graph OA= u, BD= v, OD= t
s= 1/2 (u+v)×t
From first equation of motion,v= u+at
v-u= at
v-u/a= t
S= 1/2(u+v) (v-u/a)
2as= (v-u) (v-u)
2as= v2-u2
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