v=t+1.find speed at the end of 4sec. If initially body is at rest or origin.
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Answer:
u=0,a (uniform acceleration),t=n
v (final velocity after n seconds)
v=0+an⟹v=an⟶(1)
sn (distance travelled in n seconds)=0+21an2
sn−2=21a(n−2)2
Distance travelled in least 2 seconds =sn−sn−2=21a[n2−(n−2)2]=21a[n2−n2−4+4x]=2an−2a⟶(2)
From equation 1 and 2,
x=2a(n−1)x=u2v(n−1)
Answered by
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Explanation:
u=0,a (uniform acceleration),t=n
v (final velocity after n seconds)
v=0+an⟹v=an⟶(1)
sn (distance travelled in n seconds)=0+21an2
sn−2=21a(n−2)2
Distance travelled in least 2 seconds =sn−sn−2=21a[n2−(n−2)2]=21a[n2−n2−4+4x]=2an−2a⟶(2)
From equation 1 and 2,
x=2a(n−1)x=u2v(n−1)
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