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