A body initially at rest is moving with uniform acceleration 'a'. Its velocity after n seconds is 'v'. The displacement of the body at least 2second is?
1. V(n+1)/n
2. 2v(n-1)/n
3. V(n-1)/n
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11th
Physics
Motion in a Straight Line
Acceleration
A body initially at rest is...
PHYSICS
A body initially at rest is moving with uniform acceleration a. Its velocity after n seconds is v. The displacement of the body in last 2 s is :
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ANSWER
u=0,a (uniform acceleration),t=n
v (final velocity after n seconds)
v=0+an⟹v=an⟶(1)
s
n
(distance travelled in n seconds)=0+
2
1
an
2
s
n−2
=
2
1
a(n−2)
2
Distance travelled in least 2 seconds =s
n
−s
n
−2
=
2
1
a[n
2
−(n−2)
2
]=
2
1
a[n
2
−n
2
−4+4x]=2an−2a⟶(2)
From equation 1 and 2,
x=2a(n−1)
x=
u
2v
(n−1)
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