The-distance-moved-by-particle-in-the-sixth-and-eight-seconds-of-the-motion-are-45m-and-53m-repectively-Determine-the-acceleration-and-the-initial-speed-

Question Number 4851 by sanusihammed last updated on 17/Mar/16

T h e d i s t a n c e m o v e d b y p a r t i c l e i n t h e s i x t h a n d e i g h t s e c o n d s

o f t h e m o t i o n a r e 45 m a n d 53 m r e p e c t i v e l y .

D e t e r m i n e t h e a c c e l e r a t i o n a n d t h e i n i t i a l s p e e d .

Commented by prakash jain last updated on 18/Mar/16

Yes . If motion in a straight line with uniform

acceleration is not assumed then the given

information is not suffcient .

Commented by prakash jain last updated on 17/Mar/16

Assuming uniform acceleration

s = u t + \frac{1}{2} {a t}^{2}

Distance travelled in n^{t h} second

s_{n} = u n + \frac{1}{2} {a n}^{2} - (u (n - 1) + \frac{1}{2} a {(n - 1)}^{2})

s_{n} = u + \frac{1}{2} a (n^{2} - {(n - 1)}^{2})

s_{n} = u + \frac{1}{2} a (2 n - 1)

45 = u + \frac{13}{2} a

53 = u + \frac{15}{2} a

a = 8

u = - 7

- v e v a l u e o f u i n d i c a t e t h a t i n i t i a l v e l c o t i y

a n d a c c e r a t i o n a r e i n d i f f e r e n t d i r e c t i o n .

Commented by Yozzii last updated on 17/Mar/16

W h a t i f t h e b o d y d o e s n o t m o v e a l o n g

a s t r a i g h t l i n e o r i t s a c c e l e r a t i o n i s

v a r i a b l e ?

Commented by prakash jain last updated on 17/Mar/16

Assuming uniform acceleration and

motion in a straight line .

Taking question as initial topics on kinematics .

Commented by Yozzii last updated on 17/Mar/16

O t h e r w i s e, {t h e r e}^{'} s i n s u f f i c i e n t

i n f o r m a t i o n t o o b t a i n a g e n e r a l

a n s w e r ?

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