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Q.

Two balls are projected with different horizontal velocities in the ratio of 2:1, from same tower. Ratio of time taken by the ball to reach ground:

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a

2:1

b

1:2

c

1:1

d

1:4

answer is C.

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Detailed Solution

for horizontal projected bodies, let initial velocity =u;angle of projection =0 horizontal component of u is=ux=ucos0=u vertical component of u is=uy=usin0=0 time of flight t is estimated in vertical direction , applying sy=uyt+12gt2  ;  here g=acceleration due to gravity here sy=h=height of the tower, hence on substituting h=0+12gt2 is obtained ⇒time of flight=2hg time of flight t is estimated in vertical direction, hence time flight doesnot depend on initial horizontal velocity magnitude, hence ratio is 1:1
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