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A particle moving on the x axis with a constant acceleration has displacement of 6m from t=4s to t=7s and 3m from t=5s to t=8s .Find the distance covered from t= 6 to t= 7s?

A particle moving on the x axis with a constant acceleration has displacement of 6m from t=4s to t=7s and 3m from t=5s to t=8s .Find the distance covered from t= 6 to t= 7s?
 

Grade:11

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
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Khimraj
3007 Points
4 years ago
s = ut + 1/2 at²
6 = u(7-4) + 1/2a(7² - 4²) 
6 = 3u + 33/2a
Similarly 
3 = 3u + 39/2a 
by solving equations we get 
u  = 7.5 m/s 
and a = -1 m/s²
we know s = ut + 1/2at² 
s = 7.5 x (9-6) + 1/2(-1) (9² - 6²) 
s = 22.5 - 22.5 = 0 m 

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