A body travels a distance of 2m in 2 seconds and 2.2m in next 4 seconds. What will be velocity of the body at the end of 7th second from the start?
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Answer:
s= ut + 1/2 a t^2 u is the initial velocity and a is the acceleration.
The first relation you for 2 m
2 = u 2 + 1/2 a 2 *2
1= u + a
For the second relation
we get
5 seconds after, i.e. 7 seconds after it covered the distance 2+2.2
You get
4.2 = u *7 + 1/2 a *7*7
8.4 = 14 u + 49 a
We got two relation
u+a= 1
14 u + 49 a = 8.4
Sol;ve for a and u. You get
u = 29/25 and a = -4/25
The velocity V at the end of the 7th sec will be
V= 29/25 - 4/25 *7 = 1/25 m/s
Explanation:
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