A ball is thrown from ground at an angle θ with horizontal and with an initial speed u _ 0 . For the resulting projectile motion, the magnitude of average velocity of the ball up to the point when it hits the ground for

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For first projectile Average velocity, (V) = (R)/(T) = U _ x = V _ 1 ( array ll (whereR = RangeandT = Timeofflight) R = 2 U _ x . U _ y g T = 2 . U _ y g array ) For journey (V) _ 1 → n = R _ 1 + R _ 2 + + R _ n T _ 1 + T _ 2 + + T _ n = 2 u _ x _ 1 u _ y _ 1 g + 2 u _ x _ 2 u _ y _ 2 g + + 2 u _ x _ n u _ y _ n g 2 u _ y _ 1 g + 2 u _ y _ 2 g + 2 u _ y _ n g ⇒ U _ x ( 1 + 1 α ^ 2 + 1 α ^ 4 + 1 α ^ 2n 1 + (1)/(α) + 1 α ^ 2 + + 1 α ^ n ) = 0.8 v _ 1 , ( array ll 1 + 1 α ^ 2 + 1 α ^ 4 + 1 α ^ 2n ⇒ Geometricprogression SumofG . P . = 1 1 - α ^ 2 array ) ⇒ V _ 1 ( 1 1 - 1 α ^ 2 ) ((1)/(1 - (1)/(α))) = 0.8 v _ 1 ⇒ (α)/(1 + α) = 0.8 ⇒ α = 4

A ball is thrown from ground at an angle θ with horizontal and with...

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