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Summary for Time, Height and Range

what is the f...

Question

what is the formula to finding the maximum height reached in projectile mtion

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Solution

$S u p p o s e a n o b j e c t b e p r o j e c t e d f r o m t h e p o i n t O w i t h v e l o c i t y u, m a k i n g a n a n g l e θ w i t h t h e h o r i z o n t a l d i r e c t i o n . T h e n t h e m a x i m u m v e r t i c a l h e i g h t a t ta i n e d b y t h e o b j e c t a b o v e t h e p o i n t o f p r o j e c t i o n d u r i n g i t s f l i g h t i s g i v e n b y H = \frac{u^{2} \sin^{2} θ}{2 g}$

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