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ICSE Class 9 Answered

A body moving with uniform accelaration travels 84 metre in first 6 seconds and 180 metre in next 5 seconds. Find out the initial velocity and the accelaration of the body.
Asked by saunakmaitra703 | 17 Apr, 2019, 07:17: PM
answered-by-expert Expert Answer
l e t space u s space a s s u m e space t h e space i n i t i a l space v e l o c i t y space t o space b e space u space a n d space a c c e l e r t i o n space t o space b e space a
s o space f o r space f i r s t space c a s e
u sin g space s space equals space u t space plus space 0.5 a t squared
84 space equals space 6 u plus 0.5 cross times a cross times 6 cross times 6
84 space equals space 6 u space plus space 18 a space left parenthesis t a k i n g space 6 space c o m m o n right parenthesis
14 space equals u plus 3 a space....... left parenthesis 1 right parenthesis
f o r space s e c o n d space c a s e space u sin g space w a m e space f o r m u l a
t a k i n g space t o t a l space d u r a t i o n space o f space t i m e space a s space 11 space s e c
left parenthesis 180 plus 84 right parenthesis space space equals space 11 u space plus space 0.5 cross times a cross times 11 cross times 11
264 space equals space 11 u space plus space 60.5 a space space left parenthesis t a k i n g space 11 space c o m m o n right parenthesis
24 space equals space u plus space 5.5 a....... left parenthesis 2 right parenthesis
s o l v i n g space e q u a t i o n space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis space w e space g e t space
u space equals space 2 space m divided by s space
a space equals space 4 m divided by s squared
Answered by Ankit K | 17 Apr, 2019, 11:17: PM
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