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An object is thrown towards the tower which is at a horizontal distance of 50 m with an initial velocity of 10 ms-1 and making an angle 30° with the horizontal. The object hits the tower at certain height. The height from the bottom of the tower, where the object hits the tower is (Take, g = 10 ms-2)       

a
5031-103m
b
5031-103m
c
10031-103m
d
10031-103m

detailed solution

Correct option is A

Consider the diagramFor horizontal motion, 50 = 10 cos 30° x t⇒  t=5cos30°=532=103For vertical motion,h=10sin30°×103-12×10×1032    =10×12×103-1003×53=100312-53    =5031-103m

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