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Summary for Time, Height and Range

Time of fligh...

Question

Time of flight of an object projected at an angle theta is T. what will be the time of flight in terms of T if the object be projected at an angle (90-theta)?

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Solution

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$T = \frac{2 u \sin θ}{g} {a s s u m e d θ w i t h h o r i z o n t a l a x i s} . . . . 1 n o w w h e n t h e p a r t i c l e i s p r o j e c t e d w i t h a n g l e (90 - θ) f r o m h o r i z o n t a l T_{n e w} = \frac{2 u \sin (90 - θ)}{g} = \frac{2 u \cos θ}{g} . . . . 2 > d i v i d i n g b o t h e q \frac{T_{n e w}}{T} = \frac{\frac{2 u \cos θ}{g}}{\frac{2 u \sin θ}{g}} = c o t θ T_{n e w} = T c o t θ R e g a r d s$

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