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Equations of Motion

44.A ball thr...

Question

44.A ball thrown with a velocity of 49m/s got the maximum range measured in the atmosphere as 225m.The decrease in range due to atmosphere is

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Solution

$T h e m a x i m u m r a n g e R = \frac{u^{2}}{g} = \frac{49 \times 49}{9.8} = 245 m . B u t a c t u a l v a l u e i s l e s s t h a n e x p e c t e d v a l u e b e c a u s e t h e r e a r e r e s i s \tan c e s p r e s e n t a g a i n s t t h e m o t i o n o f t h e b a l l p r o j e c t e d . S O b e c a u s e o f t h e s e f r i c t i o n a l f o r c e s o f a t m o s p h e r e, t h e m a x i m u m r a n g e i s d e c r e a s e d .$

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