Solve this problem: A body moving with uniform acceleration Travels 84 metre in the first 6 second and 180 m in the next 5 seconds. find: (a) the initial velocity ,and (b) the acceleration of the body.

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Solution

Dear Student

$L e t i n i t i a l v e l o c i t y i s u s = u t + \frac{1}{2} a t^{2} I n f i r s t 6 s e c o n d s 84 = 6 u + 18 a . . . (1) N o w a f t e r t h e s e 6 s e c v e l c o t i y w i l l b e v = u + a t = u + 6 a S o f o r n e x t 5 s e c o n d s 180 = 5 (u + 6 a) + 25 a / 2 360 = 10 u + 85 a . . . (2) S o l v i n g t h e s e t w o e q u a t i o n f o r u a n d a w e g e t a = 2 m / s^{2} u = 4 m / s$
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